id	sid	eid	entity	type
ejpam-6452	1	1	european journal	ORG
ejpam-6452	1	2	2025	DATE
ejpam-6452	1	3	18	CARDINAL
ejpam-6452	1	4	3	CARDINAL
ejpam-6452	1	5	6452	DATE
ejpam-6452	1	6	1307-5543	DATE
ejpam-6452	1	7	new york	GPE
ejpam-6452	1	8	1	CARDINAL
ejpam-6452	1	9	ubon ratchathani university	ORG
ejpam-6452	1	10	ubon ratchathani	PERSON
ejpam-6452	1	11	34190	DATE
ejpam-6452	1	12	thailand 2	ORG
ejpam-6452	1	13	ubon ratchathani rajabhat university	ORG
ejpam-6452	1	14	ubon ratchathani	PERSON
ejpam-6452	1	15	34000	DATE
ejpam-6452	1	16	thailand	GPE
ejpam-6452	2	1	one	CARDINAL
ejpam-6452	3	1	pell-lucas	PERSON
ejpam-6452	5	1	pell-lucas	PERSON
ejpam-6452	6	1	pell-lucas	PERSON
ejpam-6452	7	1	2020	DATE
ejpam-6452	7	2	11b39	CARDINAL
ejpam-6452	7	3	11b37	CARDINAL
ejpam-6452	7	4	pell number	PERSON
ejpam-6452	7	5	generalized pell-lucas-	PERSON
ejpam-6452	7	6	1	CARDINAL
ejpam-6452	8	1	1	CARDINAL
ejpam-6452	8	2	2pn−1	CARDINAL
ejpam-6452	8	3	2	CARDINAL
ejpam-6452	8	4	pell-lucas	PERSON
ejpam-6452	8	5	2	CARDINAL
ejpam-6452	8	6	1	CARDINAL
ejpam-6452	8	7	2	CARDINAL
ejpam-6452	9	1	pell-lucas	PERSON
ejpam-6452	9	2	1 + √ 2	DATE
ejpam-6452	10	1	pell-lucas	PERSON
ejpam-6452	12	1	https://doi.org/10.29020/nybg.ejpam.v18i3.6452	TIME
ejpam-6452	12	2	weerayuth.ni@ubu.ac.th	PERSON
ejpam-6452	12	3	w. nilsrakoo	PERSON
ejpam-6452	12	4	a. nilsrakoo	PERSON
ejpam-6452	12	5	1	CARDINAL
ejpam-6452	13	1	2025	CARDINAL
ejpam-6452	14	1	w. nilsrakoo	PERSON
ejpam-6452	14	2	a. nilsrakoo	PERSON
ejpam-6452	15	1	j. pure	PERSON
ejpam-6452	15	2	18	CARDINAL
ejpam-6452	15	3	3	CARDINAL
ejpam-6452	15	4	2025	CARDINAL
ejpam-6452	15	5	6452 2	DATE
ejpam-6452	15	6	18	CARDINAL
ejpam-6452	15	7	2007	DATE
ejpam-6452	15	8	1	CARDINAL
ejpam-6452	15	9	first	ORDINAL
ejpam-6452	15	10	one	CARDINAL
ejpam-6452	15	11	fk,0	CARDINAL
ejpam-6452	15	12	0	CARDINAL
ejpam-6452	15	13	fk,1	ORG
ejpam-6452	15	14	1	CARDINAL
ejpam-6452	15	15	n ≥ 2	DATE
ejpam-6452	15	16	k ̸= 0	ORG
ejpam-6452	16	1	2011	DATE
ejpam-6452	16	2	falcón	DATE
ejpam-6452	16	3	2	CARDINAL
ejpam-6452	16	4	k-lucas	PERSON
ejpam-6452	16	5	2	CARDINAL
ejpam-6452	16	6	n = klk	PERSON
ejpam-6452	16	7	n ≥ 2	DATE
ejpam-6452	16	8	2013	DATE
ejpam-6452	17	1	3	CARDINAL
ejpam-6452	17	2	second	ORDINAL
ejpam-6452	17	3	one	CARDINAL
ejpam-6452	17	4	1	CARDINAL
ejpam-6452	17	5	2pk	CARDINAL
ejpam-6452	17	6	+ kpk	GPE
ejpam-6452	17	7	n ≥ 2	DATE
ejpam-6452	17	8	vasco	PERSON
ejpam-6452	17	9	4	CARDINAL
ejpam-6452	17	10	k-pell-lucas	ORG
ejpam-6452	17	11	qk	ORG
ejpam-6452	17	12	2	CARDINAL
ejpam-6452	17	13	2	CARDINAL
ejpam-6452	17	14	qk	ORG
ejpam-6452	17	15	2qk	ORDINAL
ejpam-6452	17	16	n ≥ 2	DATE
ejpam-6452	17	17	2019	DATE
ejpam-6452	18	1	5	CARDINAL
ejpam-6452	18	2	third	ORDINAL
ejpam-6452	18	3	one	CARDINAL
ejpam-6452	18	4	0,pk,1	CARDINAL
ejpam-6452	19	1	1	CARDINAL
ejpam-6452	19	2	n = kpk	PERSON
ejpam-6452	20	1	n ≥ 2	DATE
ejpam-6452	20	2	1	CARDINAL
ejpam-6452	20	3	qk,n	ORG
ejpam-6452	21	1	2,qk,1	CARDINAL
ejpam-6452	21	2	2	CARDINAL
ejpam-6452	21	3	qk	ORG
ejpam-6452	22	1	n ≥ 2	DATE
ejpam-6452	22	2	6	CARDINAL
ejpam-6452	22	3	qk	ORG
ejpam-6452	22	4	qk,0	CARDINAL
ejpam-6452	22	5	1	CARDINAL
ejpam-6452	22	6	1	CARDINAL
ejpam-6452	22	7	qk	ORG
ejpam-6452	22	8	n ≥ 2	DATE
ejpam-6452	22	9	qk	ORG
ejpam-6452	22	10	2qk	ORDINAL
ejpam-6452	22	11	un	ORG
ejpam-6452	23	1	1	CARDINAL
ejpam-6452	23	2	un	ORG
ejpam-6452	23	3	2	CARDINAL
ejpam-6452	23	4	2	CARDINAL
ejpam-6452	24	1	un	ORG
ejpam-6452	24	2	first	ORDINAL
ejpam-6452	24	3	second	ORDINAL
ejpam-6452	25	1	{lk	PERSON
ejpam-6452	25	2	{qk	PERSON
ejpam-6452	25	3	w. nilsrakoo	PERSON
ejpam-6452	25	4	a. nilsrakoo	PERSON
ejpam-6452	26	1	j. pure	PERSON
ejpam-6452	26	2	18	CARDINAL
ejpam-6452	26	3	3	CARDINAL
ejpam-6452	26	4	2025	CARDINAL
ejpam-6452	26	5	6452 3	DATE
ejpam-6452	26	6	18	CARDINAL
ejpam-6452	26	7	2,−k	CARDINAL
ejpam-6452	27	1	third	ORDINAL
ejpam-6452	27	2	one	CARDINAL
ejpam-6452	27	3	{qk	PERSON
ejpam-6452	27	4	{qk	PERSON
ejpam-6452	28	1	2,lk,1	CARDINAL
ejpam-6452	28	2	n = klk	PERSON
ejpam-6452	29	1	n ≥ 2	DATE
ejpam-6452	29	2	second	ORDINAL
ejpam-6452	29	3	{lk	PERSON
ejpam-6452	30	1	1− k	QUANTITY
ejpam-6452	30	2	pell-lucas-like	PERSON
ejpam-6452	31	1	1	CARDINAL
ejpam-6452	32	1	1	CARDINAL
ejpam-6452	32	2	pell-lucas	PERSON
ejpam-6452	33	1	34	CARDINAL
ejpam-6452	33	2	92205	DATE
ejpam-6452	34	1	2	CARDINAL
ejpam-6452	34	2	100	CARDINAL
ejpam-6452	34	3	1008100	DATE
ejpam-6452	34	4	2 5	DATE
ejpam-6452	34	5	306	CARDINAL
ejpam-6452	34	6	13926 93886 632946 4267106 28767366	DATE
ejpam-6452	34	7	2	CARDINAL
ejpam-6452	35	1	l4,n	PERSON
ejpam-6452	36	1	8	CARDINAL
ejpam-6452	37	1	third	ORDINAL
ejpam-6452	37	2	one	CARDINAL
ejpam-6452	37	3	1	CARDINAL
ejpam-6452	38	1	pell-lucas-like	PERSON
ejpam-6452	41	1	2	CARDINAL
ejpam-6452	41	2	third	ORDINAL
ejpam-6452	41	3	one	CARDINAL
ejpam-6452	41	4	integer k ≥ 2	PERSON
ejpam-6452	41	5	gpk	PERSON
ejpam-6452	41	6	n = gpk	PERSON
ejpam-6452	41	7	gpk,1	ORG
ejpam-6452	41	8	gpk	PERSON
ejpam-6452	41	9	k − 1)gpk	ORG
ejpam-6452	41	10	n ≥ 2	DATE
ejpam-6452	41	11	2	CARDINAL
ejpam-6452	42	1	gpk	PERSON
ejpam-6452	42	2	9	CARDINAL
ejpam-6452	43	1	first	ORDINAL
ejpam-6452	43	2	gpk	PERSON
ejpam-6452	43	3	gpk,1	ORG
ejpam-6452	43	4	w. nilsrakoo	PERSON
ejpam-6452	43	5	a. nilsrakoo	PERSON
ejpam-6452	44	1	j. pure	PERSON
ejpam-6452	44	2	18	CARDINAL
ejpam-6452	44	3	3	CARDINAL
ejpam-6452	44	4	2025	CARDINAL
ejpam-6452	44	5	6452 4	DATE
ejpam-6452	44	6	18	CARDINAL
ejpam-6452	45	1	2(a	CARDINAL
ejpam-6452	45	2	2(2a	CARDINAL
ejpam-6452	45	3	a−	ORG
ejpam-6452	45	4	2b)k +	DATE
ejpam-6452	45	5	5a +	DATE
ejpam-6452	45	6	n = gpk	PERSON
ejpam-6452	45	7	1	CARDINAL
ejpam-6452	45	8	n = gpk	PERSON
ejpam-6452	45	9	n(2	PERSON
ejpam-6452	45	10	n = gpk	PERSON
ejpam-6452	45	11	n(2	PERSON
ejpam-6452	45	12	2	DATE
ejpam-6452	45	13	qk	PERSON
ejpam-6452	45	14	n = gpk	PERSON
ejpam-6452	45	15	n(1, 1	PERSON
ejpam-6452	45	16	10	CARDINAL
ejpam-6452	45	17	= gp2,n(0	PERSON
ejpam-6452	45	18	1	CARDINAL
ejpam-6452	45	19	2	CARDINAL
ejpam-6452	45	20	1	CARDINAL
ejpam-6452	46	1	gpk	PERSON
ejpam-6452	48	1	k ≥ 2	ORG
ejpam-6452	50	1	4	CARDINAL
ejpam-6452	50	2	gpk	PERSON
ejpam-6452	50	3	2b−	CARDINAL
ejpam-6452	50	4	+ a∆k 2∆k σn	PERSON
ejpam-6452	51	1	k + ak −	ORG
ejpam-6452	51	2	2b	CARDINAL
ejpam-6452	51	3	2∆k	CARDINAL
ejpam-6452	51	4	1 − k)n	DATE
ejpam-6452	51	5	3	CARDINAL
ejpam-6452	51	6	2	CARDINAL
ejpam-6452	53	1	2	CARDINAL
ejpam-6452	53	2	r2 − kr	PERSON
ejpam-6452	54	1	0	CARDINAL
ejpam-6452	55	1	4	CARDINAL
ejpam-6452	55	2	k = k2	PERSON
ejpam-6452	55	3	4	CARDINAL
ejpam-6452	55	4	+ 4(k	CARDINAL
ejpam-6452	55	5	1	CARDINAL
ejpam-6452	55	6	0	CARDINAL
ejpam-6452	56	1	2	CARDINAL
ejpam-6452	56	2	two	CARDINAL
ejpam-6452	58	1	2	CARDINAL
ejpam-6452	58	2	r2 =	PERSON
ejpam-6452	60	1	∆k	GPE
ejpam-6452	60	2	2	CARDINAL
ejpam-6452	60	3	k − ∆k	PERSON
ejpam-6452	60	4	2	DATE
ejpam-6452	60	5	2(1	CARDINAL
ejpam-6452	60	6	− k	PERSON
ejpam-6452	60	7	− k σk	PERSON
ejpam-6452	61	1	w. nilsrakoo	PERSON
ejpam-6452	61	2	a. nilsrakoo	PERSON
ejpam-6452	62	1	j. pure	PERSON
ejpam-6452	62	2	18	CARDINAL
ejpam-6452	62	3	3	CARDINAL
ejpam-6452	62	4	2025	CARDINAL
ejpam-6452	62	5	6452 5	DATE
ejpam-6452	62	6	18	CARDINAL
ejpam-6452	63	1	∆k	GPE
ejpam-6452	63	2	1− k. therefore	TIME
ejpam-6452	63	3	gpk	PERSON
ejpam-6452	63	4	gpk	PERSON
ejpam-6452	67	1	gpk,1	ORG
ejpam-6452	69	1	2b−	CARDINAL
ejpam-6452	69	2	+ a∆k 2∆k	PERSON
ejpam-6452	69	3	2b	CARDINAL
ejpam-6452	70	1	3	CARDINAL
ejpam-6452	71	1	0	CARDINAL
ejpam-6452	71	2	1	CARDINAL
ejpam-6452	71	3	2	CARDINAL
ejpam-6452	71	4	2	CARDINAL
ejpam-6452	71	5	2	CARDINAL
ejpam-6452	71	6	1	CARDINAL
ejpam-6452	71	7	1	CARDINAL
ejpam-6452	71	8	1	CARDINAL
ejpam-6452	72	1	k ≥ 2	ORG
ejpam-6452	74	1	4	CARDINAL
ejpam-6452	75	1	k −	PERSON
ejpam-6452	75	2	1−k)n	CARDINAL
ejpam-6452	76	1	1−k)n	CARDINAL
ejpam-6452	76	2	2−k+∆k	CARDINAL
ejpam-6452	77	1	k−2∆k	NORP
ejpam-6452	77	2	∆k	GPE
ejpam-6452	77	3	1−k)n	CARDINAL
ejpam-6452	77	4	qk	PERSON
ejpam-6452	77	5	2−k+∆k 2∆k	QUANTITY
ejpam-6452	78	1	1−k)n	CARDINAL
ejpam-6452	80	1	1	CARDINAL
ejpam-6452	81	1	1	CARDINAL
ejpam-6452	81	2	•	CARDINAL
ejpam-6452	81	3	5	CARDINAL
ejpam-6452	81	4	2.3	CARDINAL
ejpam-6452	81	5	•	CARDINAL
ejpam-6452	81	6	6	CARDINAL
ejpam-6452	81	7	2.3	CARDINAL
ejpam-6452	81	8	•	CARDINAL
ejpam-6452	81	9	qk,n	ORG
ejpam-6452	81	10	qk	PERSON
ejpam-6452	81	11	2	CARDINAL
ejpam-6452	81	12	2	CARDINAL
ejpam-6452	83	1	1 + √	DATE
ejpam-6452	83	2	2 √ 2	DATE
ejpam-6452	83	3	1	CARDINAL
ejpam-6452	84	1	5	CARDINAL
ejpam-6452	85	1	2 √ 2	DATE
ejpam-6452	85	2	1 + √ 2	DATE
ejpam-6452	85	3	2	CARDINAL
ejpam-6452	85	4	3	CARDINAL
ejpam-6452	85	5	5	CARDINAL
ejpam-6452	86	1	2	CARDINAL
ejpam-6452	87	1	k ≥ 2	ORG
ejpam-6452	89	1	4	CARDINAL
ejpam-6452	90	1	w. nilsrakoo	PERSON
ejpam-6452	90	2	a. nilsrakoo	PERSON
ejpam-6452	91	1	j. pure	PERSON
ejpam-6452	91	2	18	CARDINAL
ejpam-6452	91	3	3	CARDINAL
ejpam-6452	91	4	2025	CARDINAL
ejpam-6452	91	5	6452 6	DATE
ejpam-6452	92	1	2	CARDINAL
ejpam-6452	92	2	1−k)n	CARDINAL
ejpam-6452	92	3	kp2 k	PERSON
ejpam-6452	92	4	4(1	CARDINAL
ejpam-6452	93	1	proof	PERSON
ejpam-6452	94	1	1	CARDINAL
ejpam-6452	95	1	generalized pell-lucas-	PERSON
ejpam-6452	96	1	3	CARDINAL
ejpam-6452	97	1	k ≥ 2.	ORG
ejpam-6452	98	1	gpk	PERSON
ejpam-6452	98	2	2 lk	QUANTITY
ejpam-6452	99	1	3	CARDINAL
ejpam-6452	99	2	2	CARDINAL
ejpam-6452	99	3	gpk	PERSON
ejpam-6452	99	4	2b−	CARDINAL
ejpam-6452	101	1	2∆k	CARDINAL
ejpam-6452	101	2	1	CARDINAL
ejpam-6452	102	1	2b−	CARDINAL
ejpam-6452	102	2	2	CARDINAL
ejpam-6452	102	3	2 lk	QUANTITY
ejpam-6452	103	1	2	CARDINAL
ejpam-6452	103	2	2	DATE
ejpam-6452	103	3	1	CARDINAL
ejpam-6452	103	4	1	CARDINAL
ejpam-6452	103	5	3	CARDINAL
ejpam-6452	104	1	k ≥ 2.	ORG
ejpam-6452	105	1	n −	ORG
ejpam-6452	107	1	qk	PERSON
ejpam-6452	107	2	1 2lk	DATE
ejpam-6452	107	3	n −	ORG
ejpam-6452	107	4	2 pk	QUANTITY
ejpam-6452	107	5	2	CARDINAL
ejpam-6452	107	6	4	CARDINAL
ejpam-6452	109	1	2qn +	DATE
ejpam-6452	110	1	2	CARDINAL
ejpam-6452	110	2	3	CARDINAL
ejpam-6452	110	3	5	CARDINAL
ejpam-6452	110	4	11	CARDINAL
ejpam-6452	110	5	2.1	CARDINAL
ejpam-6452	111	1	k ≥ 2	ORG
ejpam-6452	113	1	4	CARDINAL
ejpam-6452	117	1	qk	PERSON
ejpam-6452	117	2	2	CARDINAL
ejpam-6452	117	3	2	CARDINAL
ejpam-6452	117	4	1−k)n	CARDINAL
ejpam-6452	117	5	qk,n +	ORG
ejpam-6452	117	6	4(1	CARDINAL
ejpam-6452	118	1	w. nilsrakoo	PERSON
ejpam-6452	118	2	a. nilsrakoo	PERSON
ejpam-6452	119	1	j. pure	PERSON
ejpam-6452	119	2	18	CARDINAL
ejpam-6452	119	3	3	CARDINAL
ejpam-6452	119	4	2025	CARDINAL
ejpam-6452	119	5	6452 7	DATE
ejpam-6452	119	6	18	CARDINAL
ejpam-6452	119	7	4	CARDINAL
ejpam-6452	120	1	k ≥ 2	ORG
ejpam-6452	122	1	4	CARDINAL
ejpam-6452	123	1	2pk	ORG
ejpam-6452	123	2	m+n = pk	ORG
ejpam-6452	123	3	mlk	PERSON
ejpam-6452	123	4	mlk	PERSON
ejpam-6452	123	5	mpk	ORG
ejpam-6452	124	1	1	CARDINAL
ejpam-6452	124	2	mlk	PERSON
ejpam-6452	124	3	1 ∆k	CARDINAL
ejpam-6452	125	1	1	CARDINAL
ejpam-6452	125	2	1	CARDINAL
ejpam-6452	126	1	1 ∆k	CARDINAL
ejpam-6452	126	2	1	CARDINAL
ejpam-6452	126	3	− k)nσm k σn k −	PERSON
ejpam-6452	126	4	1	CARDINAL
ejpam-6452	126	5	1	CARDINAL
ejpam-6452	126	6	σm+n k	PERSON
ejpam-6452	126	7	1 ∆k	CARDINAL
ejpam-6452	126	8	k −	PERSON
ejpam-6452	126	9	1 − k)n	DATE
ejpam-6452	127	1	1	CARDINAL
ejpam-6452	129	1	1 ∆k	CARDINAL
ejpam-6452	130	1	1	CARDINAL
ejpam-6452	131	1	1	CARDINAL
ejpam-6452	134	1	1	CARDINAL
ejpam-6452	134	2	σm+n k	PERSON
ejpam-6452	135	1	mlk	PERSON
ejpam-6452	135	2	2 ∆k	CARDINAL
ejpam-6452	137	1	1	CARDINAL
ejpam-6452	137	2	σm+n k	PERSON
ejpam-6452	138	1	2pk	ORG
ejpam-6452	138	2	m+n.	ORG
ejpam-6452	138	3	1	CARDINAL
ejpam-6452	138	4	mpk	ORG
ejpam-6452	138	5	1 ∆k	CARDINAL
ejpam-6452	139	1	1	CARDINAL
ejpam-6452	140	1	1 ∆k	CARDINAL
ejpam-6452	140	2	k −	PERSON
ejpam-6452	140	3	1 − k)n	DATE
ejpam-6452	141	1	1	CARDINAL
ejpam-6452	141	2	1	CARDINAL
ejpam-6452	141	3	1	CARDINAL
ejpam-6452	142	1	1	CARDINAL
ejpam-6452	143	1	σm+n k	PERSON
ejpam-6452	144	1	1	CARDINAL
ejpam-6452	144	2	mlk	PERSON
ejpam-6452	145	1	1	CARDINAL
ejpam-6452	145	2	k + (	ORG
ejpam-6452	145	3	1	CARDINAL
ejpam-6452	147	1	σm+n k	PERSON
ejpam-6452	148	1	1	CARDINAL
ejpam-6452	148	2	− k)nσm k σn k +	PERSON
ejpam-6452	148	3	1	CARDINAL
ejpam-6452	151	1	1	CARDINAL
ejpam-6452	153	1	mlk	PERSON
ejpam-6452	153	2	− 4)pk	PERSON
ejpam-6452	153	3	2	CARDINAL
ejpam-6452	154	1	1	CARDINAL
ejpam-6452	154	2	σm+n k	PERSON
ejpam-6452	155	1	2lk	ORDINAL
ejpam-6452	155	2	w. nilsrakoo	PERSON
ejpam-6452	155	3	a. nilsrakoo	PERSON
ejpam-6452	156	1	j. pure	PERSON
ejpam-6452	156	2	18	CARDINAL
ejpam-6452	156	3	3	CARDINAL
ejpam-6452	156	4	2025	CARDINAL
ejpam-6452	156	5	6452 8	DATE
ejpam-6452	156	6	18	CARDINAL
ejpam-6452	157	1	6	CARDINAL
ejpam-6452	157	2	11	CARDINAL
ejpam-6452	157	3	2.2	CARDINAL
ejpam-6452	158	1	k ≥ 2	ORG
ejpam-6452	159	1	4	CARDINAL
ejpam-6452	160	1	2pk	ORG
ejpam-6452	160	2	m+n = pk	ORG
ejpam-6452	162	1	2)pk	ORG
ejpam-6452	162	2	2qk	ORDINAL
ejpam-6452	162	3	1)pk	CARDINAL
ejpam-6452	162	4	mpk	ORG
ejpam-6452	163	1	4	CARDINAL
ejpam-6452	163	2	3	CARDINAL
ejpam-6452	163	3	2pk	ORG
ejpam-6452	163	4	m+n = pk	PERSON
ejpam-6452	163	5	mlk	PERSON
ejpam-6452	163	6	qk,n +	ORG
ejpam-6452	165	1	2)pk	ORG
ejpam-6452	165	2	mlk	PERSON
ejpam-6452	165	3	qk	ORG
ejpam-6452	165	4	qk,n +	ORG
ejpam-6452	166	1	2)pk	ORG
ejpam-6452	167	1	2)pk	ORG
ejpam-6452	167	2	m+n − (k − 2)2pk	ORG
ejpam-6452	167	3	2qk	ORDINAL
ejpam-6452	167	4	m+n = 2lk	ORG
ejpam-6452	167	5	m+n − 2(k	ORG
ejpam-6452	169	1	2)pk	ORG
ejpam-6452	169	2	mlk	PERSON
ejpam-6452	169	3	4	CARDINAL
ejpam-6452	169	4	mpk	ORG
ejpam-6452	170	1	2)pk	ORG
ejpam-6452	170	2	n −	ORG
ejpam-6452	170	3	− 4)pk	PERSON
ejpam-6452	170	4	1)pk	CARDINAL
ejpam-6452	170	5	mpk	ORG
ejpam-6452	171	1	5	CARDINAL
ejpam-6452	172	1	k ≥ 2.	ORG
ejpam-6452	173	1	lim	ORG
ejpam-6452	173	2	n+1 gpk	PERSON
ejpam-6452	174	1	3	CARDINAL
ejpam-6452	174	2	lim	ORG
ejpam-6452	174	3	n+1 gpk	PERSON
ejpam-6452	174	4	n = lim n→∞	PERSON
ejpam-6452	175	1	2b−ak+a∆k 2∆k	QUANTITY
ejpam-6452	176	1	2∆k	CARDINAL
ejpam-6452	177	1	2b−ak+a∆k 2∆k	QUANTITY
ejpam-6452	178	1	2∆k	CARDINAL
ejpam-6452	179	1	1−k)n	CARDINAL
ejpam-6452	179	2	k = lim n→∞	PERSON
ejpam-6452	180	1	2b−ak+a∆k 2∆k	QUANTITY
ejpam-6452	181	1	2∆k	CARDINAL
ejpam-6452	181	2	1−k)n	CARDINAL
ejpam-6452	181	3	σ2n k	PERSON
ejpam-6452	181	4	1−k	CARDINAL
ejpam-6452	181	5	2b−ak+a∆k 2∆k	QUANTITY
ejpam-6452	182	1	2∆k	CARDINAL
ejpam-6452	182	2	1−k)n	CARDINAL
ejpam-6452	182	3	σ2n k	PERSON
ejpam-6452	183	1	6	CARDINAL
ejpam-6452	183	2	w. nilsrakoo	PERSON
ejpam-6452	183	3	a. nilsrakoo	PERSON
ejpam-6452	184	1	j. pure	PERSON
ejpam-6452	184	2	18	CARDINAL
ejpam-6452	184	3	3	CARDINAL
ejpam-6452	184	4	2025	CARDINAL
ejpam-6452	184	5	6452 9	DATE
ejpam-6452	184	6	18	CARDINAL
ejpam-6452	184	7	4	CARDINAL
ejpam-6452	188	1	1	CARDINAL
ejpam-6452	188	2	1	CARDINAL
ejpam-6452	188	3	lim n→∞	FAC
ejpam-6452	188	4	1	CARDINAL
ejpam-6452	189	1	σ2n k	PERSON
ejpam-6452	190	1	n→∞	CARDINAL
ejpam-6452	190	2	1	CARDINAL
ejpam-6452	191	1	6	CARDINAL
ejpam-6452	191	2	lim	PERSON
ejpam-6452	191	3	n→∞ gpk	GPE
ejpam-6452	191	4	n+1 gpk	PERSON
ejpam-6452	193	1	2	CARDINAL
ejpam-6452	193	2	0	CARDINAL
ejpam-6452	193	3	1	CARDINAL
ejpam-6452	193	4	2	CARDINAL
ejpam-6452	193	5	2	CARDINAL
ejpam-6452	193	6	1	CARDINAL
ejpam-6452	193	7	1	CARDINAL
ejpam-6452	193	8	5	CARDINAL
ejpam-6452	193	9	lemma 2.4	ORG
ejpam-6452	194	1	k ≥ 2.	ORG
ejpam-6452	195	1	lim n→∞	FAC
ejpam-6452	195	2	n+1 lk	PERSON
ejpam-6452	195	3	n = lim	PERSON
ejpam-6452	195	4	n→∞ pk	GPE
ejpam-6452	195	5	n+1 pk	PERSON
ejpam-6452	195	6	n = lim n→∞ qk	PERSON
ejpam-6452	195	7	n+1 qk	PERSON
ejpam-6452	195	8	n = lim	PERSON
ejpam-6452	195	9	n→∞ qk	PERSON
ejpam-6452	195	10	n+1 qk	PERSON
ejpam-6452	196	1	2	CARDINAL
ejpam-6452	196	2	8	CARDINAL
ejpam-6452	197	1	1 + √ 2	DATE
ejpam-6452	197	2	6	CARDINAL
ejpam-6452	198	1	k ≥ 2	ORG
ejpam-6452	198	2	∆k	GPE
ejpam-6452	198	3	4	CARDINAL
ejpam-6452	198	4	n ≥ r.	GPE
ejpam-6452	198	5	gpk	GPE
ejpam-6452	198	6	n−rgpk	DATE
ejpam-6452	198	7	− gp2 k	PERSON
ejpam-6452	198	8	1 4	DATE
ejpam-6452	198	9	2b−	CARDINAL
ejpam-6452	199	1	− k)n−rp2 k	PERSON
ejpam-6452	199	2	r. proof	PERSON
ejpam-6452	200	1	2b−ak+a∆k 2∆k	QUANTITY
ejpam-6452	200	2	ak−2b+a∆k 2∆k	WORK_OF_ART
ejpam-6452	201	1	3	CARDINAL
ejpam-6452	201	2	gpk	PERSON
ejpam-6452	201	3	n−rgpk	DATE
ejpam-6452	204	1	1	CARDINAL
ejpam-6452	204	2	− k)n+r σn+r k	PERSON
ejpam-6452	205	1	k + β2	PERSON
ejpam-6452	205	2	1	CARDINAL
ejpam-6452	205	3	σ2n k	PERSON
ejpam-6452	206	1	1	CARDINAL
ejpam-6452	206	2	gp2 k	PERSON
ejpam-6452	208	1	2	CARDINAL
ejpam-6452	209	1	1	CARDINAL
ejpam-6452	209	2	σ2n k	PERSON
ejpam-6452	210	1	2(1	CARDINAL
ejpam-6452	211	1	gpk	PERSON
ejpam-6452	211	2	n−rgpk	DATE
ejpam-6452	211	3	− gp2 k	PERSON
ejpam-6452	211	4	αβ(1	CARDINAL
ejpam-6452	211	5	1	CARDINAL
ejpam-6452	211	6	2(1	CARDINAL
ejpam-6452	212	1	2b−	CARDINAL
ejpam-6452	212	2	2∆k	CARDINAL
ejpam-6452	212	3	1	CARDINAL
ejpam-6452	212	4	2	CARDINAL
ejpam-6452	212	5	w. nilsrakoo	PERSON
ejpam-6452	212	6	a. nilsrakoo	PERSON
ejpam-6452	213	1	j. pure	PERSON
ejpam-6452	213	2	18	CARDINAL
ejpam-6452	213	3	3	CARDINAL
ejpam-6452	213	4	2025	CARDINAL
ejpam-6452	213	5	6452 10	DATE
ejpam-6452	213	6	18	CARDINAL
ejpam-6452	213	7	1 4	DATE
ejpam-6452	213	8	2b−	CARDINAL
ejpam-6452	213	9	1 ∆k	CARDINAL
ejpam-6452	214	1	1	CARDINAL
ejpam-6452	214	2	2	CARDINAL
ejpam-6452	214	3	1 4	DATE
ejpam-6452	214	4	2b−	CARDINAL
ejpam-6452	214	5	− k)n−rp2 k	PERSON
ejpam-6452	214	6	r.	NORP
ejpam-6452	215	1	2	CARDINAL
ejpam-6452	215	2	0	CARDINAL
ejpam-6452	215	3	1	CARDINAL
ejpam-6452	215	4	2	CARDINAL
ejpam-6452	215	5	2	CARDINAL
ejpam-6452	215	6	1	CARDINAL
ejpam-6452	215	7	1	CARDINAL
ejpam-6452	215	8	9	CARDINAL
ejpam-6452	215	9	5	CARDINAL
ejpam-6452	215	10	2.6	CARDINAL
ejpam-6452	216	1	k ≥ 2	ORG
ejpam-6452	216	2	∆k	GPE
ejpam-6452	216	3	4	CARDINAL
ejpam-6452	216	4	n ≥ r.	GPE
ejpam-6452	216	5	− p2 k	PERSON
ejpam-6452	217	1	n−rqk	PRODUCT
ejpam-6452	217	2	−q2 k	ORG
ejpam-6452	217	3	− k)n−r+1p2 k	PERSON
ejpam-6452	217	4	qk	PERSON
ejpam-6452	217	5	n−rqk	PRODUCT
ejpam-6452	217	6	− k)n−r+1p2 k	PERSON
ejpam-6452	217	7	r.	NORP
ejpam-6452	217	8	2	CARDINAL
ejpam-6452	217	9	10	CARDINAL
ejpam-6452	218	1	n ≥ r.	GPE
ejpam-6452	218	2	n−rh	CARDINAL
ejpam-6452	219	1	2	CARDINAL
ejpam-6452	220	1	1	CARDINAL
ejpam-6452	220	2	6	DATE
ejpam-6452	220	3	7	CARDINAL
ejpam-6452	221	1	k ≥ 2	ORG
ejpam-6452	221	2	∆k	GPE
ejpam-6452	221	3	4	CARDINAL
ejpam-6452	221	4	n ≥ r.	GPE
ejpam-6452	221	5	gpk	GPE
ejpam-6452	221	6	− gp2 k	PERSON
ejpam-6452	221	7	1 4	DATE
ejpam-6452	221	8	2b−	CARDINAL
ejpam-6452	224	1	2	CARDINAL
ejpam-6452	224	2	0	CARDINAL
ejpam-6452	224	3	1	CARDINAL
ejpam-6452	224	4	2	CARDINAL
ejpam-6452	224	5	2	CARDINAL
ejpam-6452	224	6	1	CARDINAL
ejpam-6452	224	7	1	CARDINAL
ejpam-6452	224	8	11	CARDINAL
ejpam-6452	225	1	k ≥ 2	ORG
ejpam-6452	225	2	∆k	GPE
ejpam-6452	225	3	4	CARDINAL
ejpam-6452	225	4	n ≥ r.	GPE
ejpam-6452	225	5	n−1lk	GPE
ejpam-6452	226	1	− p2 k	PERSON
ejpam-6452	226	2	− k)n−1	PERSON
ejpam-6452	226	3	n−1qk	ORG
ejpam-6452	226	4	−q2	CARDINAL
ejpam-6452	226	5	qk	PERSON
ejpam-6452	226	6	n−1qk	ORG
ejpam-6452	226	7	− k)n	EVENT
ejpam-6452	227	1	k = 2	PERSON
ejpam-6452	227	2	12	CARDINAL
ejpam-6452	229	1	2	CARDINAL
ejpam-6452	230	1	w. nilsrakoo	PERSON
ejpam-6452	230	2	a. nilsrakoo	PERSON
ejpam-6452	231	1	j. pure	PERSON
ejpam-6452	231	2	18	CARDINAL
ejpam-6452	231	3	3	CARDINAL
ejpam-6452	231	4	2025	CARDINAL
ejpam-6452	231	5	6452 11	DATE
ejpam-6452	233	1	one	CARDINAL
ejpam-6452	233	2	11–22	CARDINAL
ejpam-6452	234	1	second	ORDINAL
ejpam-6452	234	2	17	CARDINAL
ejpam-6452	236	1	2n	CARDINAL
ejpam-6452	236	2	1	CARDINAL
ejpam-6452	236	3	1 2n	CARDINAL
ejpam-6452	236	4	1	CARDINAL
ejpam-6452	236	5	+ 2 √ 2(n + 1)pℓx)(qℓ + 2 √ 2pℓx)n−1dx	DATE
ejpam-6452	237	1	11	CARDINAL
ejpam-6452	237	2	18	DATE
ejpam-6452	237	3	19	CARDINAL
ejpam-6452	237	4	pell-lucas	PERSON
ejpam-6452	237	5	k-lucas	PERSON
ejpam-6452	237	6	k-pell	PERSON
ejpam-6452	237	7	k-pell-lucas	PERSON
ejpam-6452	237	8	k-pell-lucas	ORG
ejpam-6452	239	1	two	CARDINAL
ejpam-6452	239	2	8	CARDINAL
ejpam-6452	240	1	k ≥ 2	ORG
ejpam-6452	242	1	4	CARDINAL
ejpam-6452	242	2	2n∆k	CARDINAL
ejpam-6452	242	3	∆k	GPE
ejpam-6452	244	1	7	CARDINAL
ejpam-6452	246	1	0	CARDINAL
ejpam-6452	246	2	∆k	GPE
ejpam-6452	248	1	∆k	GPE
ejpam-6452	249	1	1	CARDINAL
ejpam-6452	249	2	lk,ℓ	ORG
ejpam-6452	249	3	+ ∆kpk,ℓ	PERSON
ejpam-6452	249	4	− ∆kpk,ℓ	PERSON
ejpam-6452	250	1	2	CARDINAL
ejpam-6452	250	2	∆k	GPE
ejpam-6452	252	1	2	CARDINAL
ejpam-6452	252	2	1 ∆k	CARDINAL
ejpam-6452	252	3	σℓn k −	PERSON
ejpam-6452	252	4	1	CARDINAL
ejpam-6452	253	1	σℓn k	PERSON
ejpam-6452	254	1	1	CARDINAL
ejpam-6452	254	2	∆k	GPE
ejpam-6452	256	1	7	CARDINAL
ejpam-6452	257	1	w. nilsrakoo	PERSON
ejpam-6452	257	2	a. nilsrakoo	PERSON
ejpam-6452	258	1	j. pure	PERSON
ejpam-6452	258	2	18	CARDINAL
ejpam-6452	258	3	3	CARDINAL
ejpam-6452	258	4	2025	CARDINAL
ejpam-6452	258	5	6452 12	DATE
ejpam-6452	258	6	18	CARDINAL
ejpam-6452	258	7	2	CARDINAL
ejpam-6452	259	1	8	DATE
ejpam-6452	259	2	7	CARDINAL
ejpam-6452	259	3	2n	CARDINAL
ejpam-6452	259	4	1	CARDINAL
ejpam-6452	259	5	lk,ℓ	ORG
ejpam-6452	260	1	∆k	GPE
ejpam-6452	260	2	dx	ORG
ejpam-6452	260	3	1	CARDINAL
ejpam-6452	261	1	two	CARDINAL
ejpam-6452	261	2	qk,ℓ	PRODUCT
ejpam-6452	261	3	13	CARDINAL
ejpam-6452	261	4	11	CARDINAL
ejpam-6452	261	5	2.3	CARDINAL
ejpam-6452	262	1	k ≥ 2	ORG
ejpam-6452	263	1	4	CARDINAL
ejpam-6452	263	2	2n∆k	CARDINAL
ejpam-6452	263	3	∆k	GPE
ejpam-6452	265	1	3	CARDINAL
ejpam-6452	266	1	7	CARDINAL
ejpam-6452	267	1	9	CARDINAL
ejpam-6452	268	1	k ≥ 2	ORG
ejpam-6452	269	1	4	CARDINAL
ejpam-6452	270	1	nk 2n∆k ∫ ∆k	ORG
ejpam-6452	272	1	9	CARDINAL
ejpam-6452	272	2	1 2n+1∆k	CARDINAL
ejpam-6452	272	3	∫	ORG
ejpam-6452	272	4	∆k	GPE
ejpam-6452	273	1	2k	CARDINAL
ejpam-6452	276	1	pk,2 = k	PERSON
ejpam-6452	276	2	+ 2k	CARDINAL
ejpam-6452	276	3	2	CARDINAL
ejpam-6452	276	4	2	CARDINAL
ejpam-6452	276	5	7	CARDINAL
ejpam-6452	276	6	2n∆k	CARDINAL
ejpam-6452	276	7	∆k	GPE
ejpam-6452	277	1	nk 2n∆k ∫ ∆k	ORG
ejpam-6452	278	1	9	CARDINAL
ejpam-6452	278	2	n + 1)k 2n+1∆k	DATE
ejpam-6452	278	3	∫	ORG
ejpam-6452	278	4	∆k	GPE
ejpam-6452	280	1	10	CARDINAL
ejpam-6452	280	2	w. nilsrakoo	PERSON
ejpam-6452	280	3	a. nilsrakoo	PERSON
ejpam-6452	281	1	j. pure	PERSON
ejpam-6452	281	2	18	CARDINAL
ejpam-6452	281	3	3	CARDINAL
ejpam-6452	281	4	2025	CARDINAL
ejpam-6452	281	5	6452 13	DATE
ejpam-6452	281	6	18	CARDINAL
ejpam-6452	282	1	1)pk,2n	DATE
ejpam-6452	282	2	9	CARDINAL
ejpam-6452	282	3	10	CARDINAL
ejpam-6452	282	4	1	CARDINAL
ejpam-6452	284	1	∆k	GPE
ejpam-6452	285	1	1	CARDINAL
ejpam-6452	285	2	∆k	GPE
ejpam-6452	287	1	1 2n+1∆k	CARDINAL
ejpam-6452	287	2	∫	ORG
ejpam-6452	287	3	∆k	GPE
ejpam-6452	288	1	2k	CARDINAL
ejpam-6452	292	1	2	CARDINAL
ejpam-6452	292	2	8	CARDINAL
ejpam-6452	292	3	2	CARDINAL
ejpam-6452	293	1	14	CARDINAL
ejpam-6452	293	2	17	CARDINAL
ejpam-6452	293	3	3.1	CARDINAL
ejpam-6452	295	1	2n+1 √ 2	LAW
ejpam-6452	295	2	2	CARDINAL
ejpam-6452	297	1	2n	CARDINAL
ejpam-6452	297	2	1	CARDINAL
ejpam-6452	299	1	pell-lucas	PERSON
ejpam-6452	299	2	two	CARDINAL
ejpam-6452	299	3	10	CARDINAL
ejpam-6452	300	1	k ≥ 2	ORG
ejpam-6452	302	1	4	CARDINAL
ejpam-6452	302	2	1 2n∆k	CARDINAL
ejpam-6452	302	3	∫ ∆k −∆k	ORG
ejpam-6452	303	1	dx	ORG
ejpam-6452	304	1	11	CARDINAL
ejpam-6452	305	1	11	CARDINAL
ejpam-6452	307	1	11	CARDINAL
ejpam-6452	308	1	u(x	ORG
ejpam-6452	308	2	dv	ORG
ejpam-6452	309	1	lk,ℓ	ORG
ejpam-6452	309	2	pk,ℓx)n−1 dx.	PERSON
ejpam-6452	310	1	1 2n∆k	CARDINAL
ejpam-6452	310	2	∫ ∆k −∆k	ORG
ejpam-6452	312	1	1	CARDINAL
ejpam-6452	312	2	∆k	GPE
ejpam-6452	313	1	∆k	GPE
ejpam-6452	315	1	12	CARDINAL
ejpam-6452	315	2	n by n + 1	ORG
ejpam-6452	315	3	7	CARDINAL
ejpam-6452	315	4	pk,ℓn+ℓ	GPE
ejpam-6452	315	5	∫	ORG
ejpam-6452	315	6	∆k	GPE
ejpam-6452	316	1	2pk,ℓn+ℓ	CARDINAL
ejpam-6452	316	2	∆k	GPE
ejpam-6452	317	1	w. nilsrakoo	PERSON
ejpam-6452	317	2	a. nilsrakoo	PERSON
ejpam-6452	318	1	j. pure	PERSON
ejpam-6452	318	2	18	CARDINAL
ejpam-6452	318	3	3	CARDINAL
ejpam-6452	318	4	2025	CARDINAL
ejpam-6452	318	5	6452 14	DATE
ejpam-6452	318	6	18	CARDINAL
ejpam-6452	318	7	12	CARDINAL
ejpam-6452	318	8	1	CARDINAL
ejpam-6452	318	9	+ ∆kpk,ℓ	NORP
ejpam-6452	318	10	− ∆kpk,ℓ	PERSON
ejpam-6452	318	11	2pk,ℓn+ℓ	CARDINAL
ejpam-6452	319	1	13	CARDINAL
ejpam-6452	319	2	2	CARDINAL
ejpam-6452	319	3	13	CARDINAL
ejpam-6452	320	1	2n	CARDINAL
ejpam-6452	320	2	1	CARDINAL
ejpam-6452	321	1	σℓn k	PERSON
ejpam-6452	322	1	2pk,ℓn+ℓ	CARDINAL
ejpam-6452	322	2	1 ∆k	CARDINAL
ejpam-6452	322	3	σℓn k	PERSON
ejpam-6452	323	1	1	CARDINAL
ejpam-6452	323	2	σℓn k	PERSON
ejpam-6452	325	1	1	CARDINAL
ejpam-6452	325	2	σℓn k	PERSON
ejpam-6452	325	3	2pk,ℓn+ℓ	CARDINAL
ejpam-6452	326	1	1	CARDINAL
ejpam-6452	326	2	4	CARDINAL
ejpam-6452	327	1	2pk,ℓn+ℓ	CARDINAL
ejpam-6452	327	2	1	CARDINAL
ejpam-6452	330	1	generalized pell-lucas-	PERSON
ejpam-6452	330	2	11	CARDINAL
ejpam-6452	331	1	k ≥ 2	ORG
ejpam-6452	332	1	4	CARDINAL
ejpam-6452	333	1	1 2n+1∆k	CARDINAL
ejpam-6452	333	2	∫	ORG
ejpam-6452	333	3	∆k	GPE
ejpam-6452	334	1	2b−	CARDINAL
ejpam-6452	334	2	pk,ℓx)n−1 dx.	PERSON
ejpam-6452	336	1	3	CARDINAL
ejpam-6452	336	2	2	CARDINAL
ejpam-6452	337	1	14	CARDINAL
ejpam-6452	337	2	8 and 10	DATE
ejpam-6452	337	3	14	CARDINAL
ejpam-6452	338	1	3	CARDINAL
ejpam-6452	340	1	w. nilsrakoo	PERSON
ejpam-6452	340	2	a. nilsrakoo	PERSON
ejpam-6452	341	1	j. pure	PERSON
ejpam-6452	341	2	18	CARDINAL
ejpam-6452	341	3	3	CARDINAL
ejpam-6452	341	4	2025	CARDINAL
ejpam-6452	341	5	6452 15	DATE
ejpam-6452	341	6	0	CARDINAL
ejpam-6452	341	7	gpk	PERSON
ejpam-6452	341	8	n = bpk	PERSON
ejpam-6452	341	9	2n	CARDINAL
ejpam-6452	341	10	∆k	GPE
ejpam-6452	342	1	2b	CARDINAL
ejpam-6452	342	2	gpk	PERSON
ejpam-6452	342	3	2lk	ORDINAL
ejpam-6452	342	4	2n+1 ∫ ∆k	ORG
ejpam-6452	342	5	k + 1)pk,ℓx)n−1dx	ORG
ejpam-6452	343	1	2	CARDINAL
ejpam-6452	343	2	11	CARDINAL
ejpam-6452	343	3	3	CARDINAL
ejpam-6452	344	1	15	CARDINAL
ejpam-6452	344	2	11	CARDINAL
ejpam-6452	344	3	2.6	CARDINAL
ejpam-6452	345	1	k ≥ 2	ORG
ejpam-6452	346	1	4	CARDINAL
ejpam-6452	346	2	1 2n∆k	CARDINAL
ejpam-6452	346	3	∆k	GPE
ejpam-6452	347	1	2	CARDINAL
ejpam-6452	347	2	11	DATE
ejpam-6452	348	1	16	CARDINAL
ejpam-6452	350	1	2	CARDINAL
ejpam-6452	350	2	+ 1)pℓx	DATE
ejpam-6452	350	3	dx	ORG
ejpam-6452	351	1	2	CARDINAL
ejpam-6452	351	2	10 or	CARDINAL
ejpam-6452	351	3	2	CARDINAL
ejpam-6452	351	4	2	CARDINAL
ejpam-6452	351	5	16	CARDINAL
ejpam-6452	352	1	17	CARDINAL
ejpam-6452	352	2	17	CARDINAL
ejpam-6452	352	3	3.4	CARDINAL
ejpam-6452	354	1	1	CARDINAL
ejpam-6452	354	2	2	CARDINAL
ejpam-6452	354	3	pℓx)n−1	GPE
ejpam-6452	354	4	dx	ORG
ejpam-6452	355	1	pk,ℓn+r and lk,ℓn+r	PRODUCT
ejpam-6452	356	1	12	CARDINAL
ejpam-6452	357	1	k ≥ 2	ORG
ejpam-6452	359	1	4	CARDINAL
ejpam-6452	360	1	pk,ℓn+r	PRODUCT
ejpam-6452	360	2	1 2n+1∆k	CARDINAL
ejpam-6452	360	3	∫	ORG
ejpam-6452	360	4	∆k	GPE
ejpam-6452	360	5	npk,ℓlk	ORG
ejpam-6452	362	1	4	CARDINAL
ejpam-6452	362	2	pk,ℓn+r	PRODUCT
ejpam-6452	362	3	1 2	CARDINAL
ejpam-6452	362	4	+ 1 2 pk	MONEY
ejpam-6452	362	5	rlk,ℓn	PERSON
ejpam-6452	363	1	w. nilsrakoo	PERSON
ejpam-6452	363	2	a. nilsrakoo	PERSON
ejpam-6452	364	1	j. pure	PERSON
ejpam-6452	364	2	18	CARDINAL
ejpam-6452	364	3	3	CARDINAL
ejpam-6452	364	4	2025	CARDINAL
ejpam-6452	364	5	6452 16	DATE
ejpam-6452	364	6	18	CARDINAL
ejpam-6452	364	7	8 and 10	DATE
ejpam-6452	364	8	pk,ℓn+r	PRODUCT
ejpam-6452	364	9	1 2	CARDINAL
ejpam-6452	364	10	∆k	GPE
ejpam-6452	365	1	+ 1 2 pk	MONEY
ejpam-6452	365	2	1 2n∆k	CARDINAL
ejpam-6452	365	3	∆k	GPE
ejpam-6452	366	1	1 2n+1∆k	CARDINAL
ejpam-6452	366	2	∫	ORG
ejpam-6452	366	3	∆k	GPE
ejpam-6452	366	4	npk,ℓlk	ORG
ejpam-6452	368	1	2	CARDINAL
ejpam-6452	368	2	12	CARDINAL
ejpam-6452	369	1	18	CARDINAL
ejpam-6452	369	2	17	CARDINAL
ejpam-6452	369	3	3.5	CARDINAL
ejpam-6452	371	1	pℓn+r	ORG
ejpam-6452	371	2	2	CARDINAL
ejpam-6452	371	3	+ pℓx)n−1dx	PERSON
ejpam-6452	371	4	13	CARDINAL
ejpam-6452	372	1	k ≥ 2	ORG
ejpam-6452	374	1	4	CARDINAL
ejpam-6452	374	2	1 2n+1∆k	CARDINAL
ejpam-6452	374	3	∫	ORG
ejpam-6452	374	4	∆k	GPE
ejpam-6452	377	1	4	CARDINAL
ejpam-6452	377	2	1 2	CARDINAL
ejpam-6452	377	3	k 2 pk,ℓnpk	ORG
ejpam-6452	377	4	r.	NORP
ejpam-6452	377	5	8 and 10	DATE
ejpam-6452	378	1	2	CARDINAL
ejpam-6452	378	2	13	CARDINAL
ejpam-6452	379	1	19	CARDINAL
ejpam-6452	379	2	17	CARDINAL
ejpam-6452	379	3	3.6	CARDINAL
ejpam-6452	381	1	2	CARDINAL
ejpam-6452	381	2	8npℓpr +	DATE
ejpam-6452	381	3	+ pℓx)n−1dx	PERSON
ejpam-6452	381	4	4	CARDINAL
ejpam-6452	382	1	3	CARDINAL
ejpam-6452	382	2	12	DATE
ejpam-6452	382	3	13	CARDINAL
ejpam-6452	383	1	w. nilsrakoo	PERSON
ejpam-6452	383	2	a. nilsrakoo	PERSON
ejpam-6452	384	1	j. pure	PERSON
ejpam-6452	384	2	18	CARDINAL
ejpam-6452	384	3	3	CARDINAL
ejpam-6452	384	4	2025	CARDINAL
ejpam-6452	384	5	6452 17	DATE
ejpam-6452	385	1	one	CARDINAL
ejpam-6452	385	2	pell-lucas	PERSON
ejpam-6452	387	1	pell-lucas	PERSON
ejpam-6452	389	1	first	ORDINAL
ejpam-6452	389	2	ubon ratchatani university	ORG
ejpam-6452	390	1	second	ORDINAL
ejpam-6452	390	2	ubon ratchatani rajabhat university	ORG
ejpam-6452	391	1	1	CARDINAL
ejpam-6452	391	2	ángel plaza	LOC
ejpam-6452	393	1	32:1615–1624	CARDINAL
ejpam-6452	393	2	2007	DATE
ejpam-6452	394	1	2	CARDINAL
ejpam-6452	395	1	the k-lucas	FAC
ejpam-6452	396	1	contemporary mathematical sciences	ORG
ejpam-6452	396	2	6:1039–1050, 2011	DATE
ejpam-6452	397	1	3	CARDINAL
ejpam-6452	397	2	paula catarino	PERSON
ejpam-6452	399	1	7(37-40):1877–1884, 2013	DATE
ejpam-6452	400	1	4	CARDINAL
ejpam-6452	400	2	paula catarino	PERSON
ejpam-6452	400	3	paulo vasco	PERSON
ejpam-6452	401	1	k-pell-lucas	ORG
ejpam-6452	402	1	7(97-100):4867–4873, 2013	DATE
ejpam-6452	403	1	5	CARDINAL
ejpam-6452	404	1	generalized pell	PERSON
ejpam-6452	404	2	pell-lucas	PERSON
ejpam-6452	405	1	iranian	NORP
ejpam-6452	406	1	a. science	PERSON
ejpam-6452	406	2	43(6):2871	CARDINAL
ejpam-6452	406	3	2877	CARDINAL
ejpam-6452	406	4	2019	DATE
ejpam-6452	407	1	6	CARDINAL
ejpam-6452	407	2	kızılırmak	PERSON
ejpam-6452	409	1	10(3):60–66	DATE
ejpam-6452	409	2	2021	CARDINAL
ejpam-6452	410	1	7	CARDINAL
ejpam-6452	410	2	edouard lucas	PERSON
ejpam-6452	411	1	theorie des fonctions numeriques simplement periodiques	ORG
ejpam-6452	412	1	american journal of mathematics	ORG
ejpam-6452	412	2	1(4):289–321, 1878	DATE
ejpam-6452	413	1	8	CARDINAL
ejpam-6452	413	2	neil j. a. sloane	PERSON
ejpam-6452	415	1	the oeis foundation inc.	ORG
ejpam-6452	415	2	2024	DATE
ejpam-6452	416	1	9	CARDINAL
ejpam-6452	416	2	a. f. horadam	PERSON
ejpam-6452	418	1	quarterly	DATE
ejpam-6452	418	2	3:161–176	CARDINAL
ejpam-6452	418	3	1965	DATE
ejpam-6452	419	1	10	CARDINAL
ejpam-6452	419	2	w. m. abd-elhameed	PERSON
ejpam-6452	419	3	n. a. zeyada	PERSON
ejpam-6452	421	1	48(1):102–107	CARDINAL
ejpam-6452	421	2	2017	DATE
ejpam-6452	422	1	w. nilsrakoo	PERSON
ejpam-6452	422	2	a. nilsrakoo	PERSON
ejpam-6452	423	1	j. pure	PERSON
ejpam-6452	423	2	18	CARDINAL
ejpam-6452	423	3	3	CARDINAL
ejpam-6452	423	4	2025	CARDINAL
ejpam-6452	423	5	6452 18	DATE
ejpam-6452	423	6	11	CARDINAL
ejpam-6452	423	7	weerayuth nilsrakoo	ORG
ejpam-6452	424	1	pell-lucas	PERSON
ejpam-6452	425	1	20(2):469–473	CARDINAL
ejpam-6452	425	2	2025	DATE
ejpam-6452	426	1	12	CARDINAL
ejpam-6452	426	2	dorin andrica	PERSON
ejpam-6452	426	3	ovidiu bagdasar	PERSON
ejpam-6452	429	1	2020	DATE
ejpam-6452	430	1	13	CARDINAL
ejpam-6452	430	2	thierry dana-picard	PERSON
ejpam-6452	432	1	internat	PERSON
ejpam-6452	433	1	j. math	PERSON
ejpam-6452	434	1	ed	PERSON
ejpam-6452	435	1	sci. tech.	ORG
ejpam-6452	435	2	2010	DATE
ejpam-6452	436	1	14	CARDINAL
ejpam-6452	436	2	karl dilcher	PERSON
ejpam-6452	438	1	quarterly	DATE
ejpam-6452	438	2	38(4):342–363, 2000	DATE
ejpam-6452	439	1	15	CARDINAL
ejpam-6452	439	2	m. lawrence glasser	PERSON
ejpam-6452	439	3	yajun zhou	PERSON
ejpam-6452	441	1	quarterly	DATE
ejpam-6452	441	2	53(4):313–318	CARDINAL
ejpam-6452	441	3	2015	DATE
ejpam-6452	442	1	16	CARDINAL
ejpam-6452	442	2	wen-hui li	PERSON
ejpam-6452	442	3	omran kouba	PERSON
ejpam-6452	442	4	issam kaddoura	PERSON
ejpam-6452	442	5	feng qi	PERSON
ejpam-6452	444	1	filomat	GPE
ejpam-6452	444	2	37(19):6505–6524	CARDINAL
ejpam-6452	444	3	2023	CARDINAL
ejpam-6452	445	1	17	CARDINAL
ejpam-6452	446	1	pell-lucas	PERSON
ejpam-6452	447	1	7(2):272–281	CARDINAL
ejpam-6452	447	2	2024	DATE
ejpam-6452	448	1	18	CARDINAL
ejpam-6452	448	2	weerayuth nilsrakoo	ORG
ejpam-6452	449	1	k-pell-lucas	PERSON
ejpam-6452	450	1	thai journal of mathematics	ORG
ejpam-6452	450	2	23(1):9–19	CARDINAL
ejpam-6452	450	3	2025	DATE
ejpam-6452	451	1	19	CARDINAL
ejpam-6452	451	2	weerayuth nilsrakoo	ORG
ejpam-6452	452	1	k-lucas	PERSON
ejpam-6452	453	1	801	CARDINAL
ejpam-6452	453	2	2024	DATE
ejpam-6452	454	1	20	CARDINAL
ejpam-6452	454	2	weerayuth nilsrakoo	ORG
ejpam-6452	455	1	one	CARDINAL
ejpam-6452	456	1	24:51–61	CARDINAL
ejpam-6452	456	2	2025	DATE
ejpam-6452	457	1	21	CARDINAL
ejpam-6452	457	2	m. stewart	PERSON
ejpam-6452	459	1	australian	NORP
ejpam-6452	459	2	19(2):art	CARDINAL
ejpam-6452	460	1	2	CARDINAL
ejpam-6452	460	2	5	CARDINAL
ejpam-6452	460	3	2022	CARDINAL
ejpam-6452	461	1	22	CARDINAL
ejpam-6452	461	2	m. stewart	PERSON
ejpam-6452	462	1	107.01	CARDINAL
ejpam-6452	463	1	107(568):120–123	DATE
ejpam-6452	463	2	2023	CARDINAL