id	sid	eid	entity	type
easat-2965	1	1	2576-8484	DATE
easat-2965	1	2	8	CARDINAL
easat-2965	1	3	6, 4408-4414 2024	CARDINAL
easat-2965	1	4	10.55214/25768484.v8i6.2965	CARDINAL
easat-2965	1	5	2024	CARDINAL
easat-2965	1	6	2024	CARDINAL
easat-2965	1	7	±	CARDINAL
easat-2965	1	8	amara chandoul1*	PERSON
easat-2965	2	1	𝖠multimedia	ORG
easat-2965	2	2	𝖠multimedia of sfax	ORG
easat-2965	2	3	al −ons	ORG
easat-2965	3	1	242	CARDINAL
easat-2965	3	2	3021	CARDINAL
easat-2965	3	3	tunisia	GPE
easat-2965	3	4	a.c.	GPE
easat-2965	4	1	2department	TIME
easat-2965	4	2	jamoum university college	ORG
easat-2965	4	3	al −qura university	ORG
easat-2965	4	4	holly makkah 21955	PERSON
easat-2965	4	5	saudi arabia	GPE
easat-2965	4	6	amsibih@uqu.edu.sa	PERSON
easat-2965	4	7	a.s.	GPE
easat-2965	5	1	±	CARDINAL
easat-2965	6	1	generalized lucas	PERSON
easat-2965	6	2	generalized pell	PERSON
easat-2965	6	3	generalized pell-lucas	PERSON
easat-2965	8	1	generalized pell	PERSON
easat-2965	9	1	1	CARDINAL
easat-2965	10	1	pell	PERSON
easat-2965	10	2	pell-lucas	ORG
easat-2965	11	1	𝐹0	CARDINAL
easat-2965	11	2	0	CARDINAL
easat-2965	11	3	𝐹1	CARDINAL
easat-2965	11	4	1	CARDINAL
easat-2965	14	1	+ 𝐿𝑛	PERSON
easat-2965	14	2	2	CARDINAL
easat-2965	14	3	𝐿1	CARDINAL
easat-2965	14	4	1	CARDINAL
easat-2965	14	5	pell-lucas	PERSON
easat-2965	15	1	2	CARDINAL
easat-2965	15	2	2	CARDINAL
easat-2965	16	1	recent years	DATE
easat-2965	17	1	2	CARDINAL
easat-2965	17	2	3	CARDINAL
easat-2965	17	3	4	CARDINAL
easat-2965	18	1	11,12,13	CARDINAL
easat-2965	20	1	two	CARDINAL
easat-2965	20	2	+ 4𝑡	CARDINAL
easat-2965	20	3	0	CARDINAL
easat-2965	20	4	generalized lucas	ORG
easat-2965	20	5	𝐹𝑛+2(𝑠	GPE
easat-2965	20	6	0	CARDINAL
easat-2965	20	7	1	CARDINAL
easat-2965	21	1	2	CARDINAL
easat-2965	21	2	1	CARDINAL
easat-2965	21	3	4409	CARDINAL
easat-2965	21	4	2576-8484	DATE
easat-2965	21	5	8	CARDINAL
easat-2965	22	1	6	CARDINAL
easat-2965	22	2	4408-4414	DATE
easat-2965	22	3	2024	CARDINAL
easat-2965	22	4	10.55214/25768484.v8i6.2965	CARDINAL
easat-2965	22	5	2024	CARDINAL
easat-2965	23	1	0	CARDINAL
easat-2965	24	1	2√𝑠2 + 4𝑡	DATE
easat-2965	24	2	5	CARDINAL
easat-2965	24	3	6	CARDINAL
easat-2965	25	1	7],[17	CARDINAL
easat-2965	25	2	18	CARDINAL
easat-2965	25	3	19	CARDINAL
easat-2965	27	1	two	CARDINAL
easat-2965	28	1	0	CARDINAL
easat-2965	28	2	generalized pell-lucas	PERSON
easat-2965	28	3	2𝑘φ𝑛+1(𝑘	CARDINAL
easat-2965	29	1	1	CARDINAL
easat-2965	29	2	2𝑘ψ𝑛+1(𝑘	CARDINAL
easat-2965	29	3	ψ0(𝑘	PERSON
easat-2965	29	4	2	CARDINAL
easat-2965	30	1	2𝑘	CARDINAL
easat-2965	31	1	2𝑘	CARDINAL
easat-2965	31	2	𝛼𝑛−	GPE
easat-2965	31	3	ψ𝑛(𝑘	PRODUCT
easat-2965	33	1	2𝑘𝑥	ORDINAL
easat-2965	34	1	2𝑘	CARDINAL
easat-2965	34	2	two	CARDINAL
easat-2965	42	1	5	CARDINAL
easat-2965	42	2	1	CARDINAL
easat-2965	43	1	9	CARDINAL
easat-2965	43	2	bala	PERSON
easat-2965	43	3	mishra	PERSON
easat-2965	43	4	two	CARDINAL
easat-2965	44	1	10	CARDINAL
easat-2965	45	1	bala	PERSON
easat-2965	45	2	mishra	PERSON
easat-2965	46	1	9	CARDINAL
easat-2965	46	2	±	CARDINAL
easat-2965	47	1	generalized lucas	PERSON
easat-2965	47	2	generalized pell	PERSON
easat-2965	47	3	generalized pell-lucas	PERSON
easat-2965	48	1	1,2,3,2.1	CARDINAL
easat-2965	48	2	1	CARDINAL
easat-2965	48	3	−1	DATE
easat-2965	48	4	1	CARDINAL
easat-2965	49	1	4410	CARDINAL
easat-2965	49	2	2576-8484	DATE
easat-2965	49	3	8	CARDINAL
easat-2965	50	1	6	CARDINAL
easat-2965	50	2	4408-4414	DATE
easat-2965	50	3	2024	CARDINAL
easat-2965	50	4	10.55214/25768484.v8i6.2965	CARDINAL
easat-2965	50	5	2024	CARDINAL
easat-2965	50	6	2	CARDINAL
easat-2965	50	7	1	CARDINAL
easat-2965	51	1	1	CARDINAL
easat-2965	51	2	1	CARDINAL
easat-2965	51	3	3	CARDINAL
easat-2965	53	1	1	CARDINAL
easat-2965	54	1	1	CARDINAL
easat-2965	56	1	2	CARDINAL
easat-2965	56	2	2.1	CARDINAL
easat-2965	56	3	1	CARDINAL
easat-2965	58	1	1	CARDINAL
easat-2965	58	2	1	CARDINAL
easat-2965	58	3	1	CARDINAL
easat-2965	58	4	1	CARDINAL
easat-2965	59	1	2	CARDINAL
easat-2965	59	2	1	CARDINAL
easat-2965	59	3	2𝑝𝑞2−𝑎	CARDINAL
easat-2965	59	4	2𝑞	CARDINAL
easat-2965	60	1	3	CARDINAL
easat-2965	60	2	1	CARDINAL
easat-2965	60	3	2	CARDINAL
easat-2965	60	4	1 2	CARDINAL
easat-2965	60	5	1 2	CARDINAL
easat-2965	60	6	2 2𝑝𝑞2−𝑎	QUANTITY
easat-2965	60	7	𝛼𝑛+𝛽2	GPE
easat-2965	60	8	2𝑞	CARDINAL
easat-2965	60	9	2𝑞	CARDINAL
easat-2965	60	10	2 2𝑝𝑞2−𝑎	QUANTITY
easat-2965	61	1	2𝑝𝑞2−𝑎	CARDINAL
easat-2965	61	2	2 2𝑝𝑞2−𝑎	QUANTITY
easat-2965	61	3	all 𝑛 ≥ 1. 1	DATE
easat-2965	62	1	2𝑝𝑞2	CARDINAL
easat-2965	62	2	2𝑞	CARDINAL
easat-2965	62	3	2	CARDINAL
easat-2965	63	1	2	CARDINAL
easat-2965	63	2	2𝑝𝑞2−𝑎	CARDINAL
easat-2965	63	3	2𝑦𝑛	ORDINAL
easat-2965	63	4	2𝑞	CARDINAL
easat-2965	63	5	1	CARDINAL
easat-2965	64	1	√p2q2 −	PERSON
easat-2965	64	2	1	CARDINAL
easat-2965	64	3	1	CARDINAL
easat-2965	64	4	4411	CARDINAL
easat-2965	64	5	2576-8484	DATE
easat-2965	64	6	8	CARDINAL
easat-2965	65	1	6	CARDINAL
easat-2965	65	2	4408-4414	DATE
easat-2965	65	3	2024	CARDINAL
easat-2965	65	4	10.55214/25768484.v8i6.2965	CARDINAL
easat-2965	65	5	2024	CARDINAL
easat-2965	65	6	1	CARDINAL
easat-2965	66	1	1	CARDINAL
easat-2965	67	1	1	CARDINAL
easat-2965	68	1	1	CARDINAL
easat-2965	69	1	1	CARDINAL
easat-2965	71	1	1	CARDINAL
easat-2965	71	2	1	CARDINAL
easat-2965	71	3	2(q	CARDINAL
easat-2965	71	4	1,2(pq	CARDINAL
easat-2965	71	5	1	CARDINAL
easat-2965	72	1	2	CARDINAL
easat-2965	72	2	4	CARDINAL
easat-2965	73	1	1.1	CARDINAL
easat-2965	73	2	1	CARDINAL
easat-2965	75	1	1	CARDINAL
easat-2965	75	2	1	CARDINAL
easat-2965	75	3	1	CARDINAL
easat-2965	75	4	2𝑝𝑞2−𝑎 2𝑞	CARDINAL
easat-2965	76	1	2𝑝𝑞2−𝑎	CARDINAL
easat-2965	76	2	2𝑞	CARDINAL
easat-2965	77	1	3	CARDINAL
easat-2965	77	2	1.1	CARDINAL
easat-2965	77	3	1	CARDINAL
easat-2965	77	4	2𝑝𝑞2−𝑎	CARDINAL
easat-2965	77	5	2𝑝𝑞2−𝑎	CARDINAL
easat-2965	77	6	2𝑝𝑞2−𝑎	CARDINAL
easat-2965	78	1	2𝑝𝑞2−𝑎	CARDINAL
easat-2965	78	2	2	CARDINAL
easat-2965	78	3	2𝑝𝑞2−𝑎	CARDINAL
easat-2965	78	4	−1	DATE
easat-2965	79	1	all 𝑛 ≥ 1	DATE
easat-2965	79	2	𝛼𝑛+𝛽𝑛 2	DATE
easat-2965	79	3	1 2	CARDINAL
easat-2965	79	4	1 2 𝐿𝑛	QUANTITY
easat-2965	79	5	2 2𝑝𝑞2−𝑎	QUANTITY
easat-2965	79	6	1 2 ψ𝑛	QUANTITY
easat-2965	79	7	2𝑝𝑞2−𝑎	CARDINAL
easat-2965	79	8	4412	CARDINAL
easat-2965	79	9	2576-8484	DATE
easat-2965	80	1	8	CARDINAL
easat-2965	81	1	6	CARDINAL
easat-2965	81	2	4408-4414	DATE
easat-2965	81	3	2024	CARDINAL
easat-2965	81	4	10.55214/25768484.v8i6.2965	CARDINAL
easat-2965	81	5	2024	CARDINAL
easat-2965	82	1	2𝑞	CARDINAL
easat-2965	82	2	2𝑞	CARDINAL
easat-2965	82	3	2 2𝑝𝑞2−𝑎	QUANTITY
easat-2965	83	1	2𝑝𝑞2−𝑎 ψ𝑛	QUANTITY
easat-2965	83	2	2𝑝𝑞2−𝑎	CARDINAL
easat-2965	83	3	all 𝑛 ≥ 1. 4	DATE
easat-2965	84	1	4	CARDINAL
easat-2965	84	2	1	CARDINAL
easat-2965	85	1	5	CARDINAL
easat-2965	85	2	fifth	ORDINAL
easat-2965	85	3	2.2	CARDINAL
easat-2965	87	1	2.3	CARDINAL
easat-2965	87	2	1	CARDINAL
easat-2965	89	1	2𝑞	CARDINAL
easat-2965	89	2	2𝑝𝑞	ORDINAL
easat-2965	90	1	2	CARDINAL
easat-2965	90	2	1	CARDINAL
easat-2965	91	1	3	CARDINAL
easat-2965	91	2	1	CARDINAL
easat-2965	91	3	𝛼𝑛+𝛽𝑛 2	DATE
easat-2965	91	4	1 2	CARDINAL
easat-2965	91	5	1 2 𝐿𝑛	QUANTITY
easat-2965	91	6	2 2𝑝𝑞2−𝑎	QUANTITY
easat-2965	91	7	1 2 ψ𝑛	QUANTITY
easat-2965	91	8	2𝑝𝑞2−𝑎	CARDINAL
easat-2965	91	9	2𝑞	CARDINAL
easat-2965	91	10	2𝑞	CARDINAL
easat-2965	91	11	2 2𝑝𝑞2+𝑎	QUANTITY
easat-2965	92	1	2𝑝𝑞2−𝑎	CARDINAL
easat-2965	92	2	2 2𝑝𝑞2+𝑎	QUANTITY
easat-2965	92	3	all 𝑛 ≥ 1. 4	DATE
easat-2965	94	1	2𝑞	CARDINAL
easat-2965	94	2	2	CARDINAL
easat-2965	95	1	5	CARDINAL
easat-2965	96	1	2𝑝𝑞2	CARDINAL
easat-2965	97	1	2𝑦𝑛	ORDINAL
easat-2965	97	2	2𝑞	CARDINAL
easat-2965	99	1	all 𝑛 ≥ 1	DATE
easat-2965	100	1	1.	CARDINAL
easat-2965	100	2	4413	CARDINAL
easat-2965	100	3	2576-8484	DATE
easat-2965	101	1	8	CARDINAL
easat-2965	102	1	6	CARDINAL
easat-2965	102	2	4408-4414	DATE
easat-2965	102	3	2024	CARDINAL
easat-2965	102	4	10.55214/25768484.v8i6.2965	CARDINAL
easat-2965	102	5	2024	CARDINAL
easat-2965	102	6	3	CARDINAL
easat-2965	102	7	one	CARDINAL
easat-2965	104	1	±	CARDINAL
easat-2965	105	1	∈	ORG
easat-2965	105	2	1.	CARDINAL
easat-2965	106	1	1	CARDINAL
easat-2965	106	2	𝑁(𝑢 + 𝑣√𝐷	PRODUCT
easat-2965	106	3	− 𝑣2𝐷	ORG
easat-2965	106	4	1	CARDINAL
easat-2965	106	5	−1	DATE
easat-2965	109	1	−1	DATE
easat-2965	110	1	1	CARDINAL
easat-2965	111	1	2	CARDINAL
easat-2965	111	2	14	CARDINAL
easat-2965	111	3	7	CARDINAL
easat-2965	112	1	22(14)2	CARDINAL
easat-2965	112	2	7.14	CARDINAL
easat-2965	112	3	686	CARDINAL
easat-2965	113	1	868𝑦2	CARDINAL
easat-2965	113	2	1	CARDINAL
easat-2965	113	3	2.2(14)2−7 7	DATE
easat-2965	113	4	2.14 7	DATE
easat-2965	114	1	868𝑦2	CARDINAL
easat-2965	114	2	1	CARDINAL
easat-2965	114	3	1 2	CARDINAL
easat-2965	114	4	1 2	CARDINAL
easat-2965	114	5	1 195	CARDINAL
easat-2965	116	1	1	CARDINAL
easat-2965	118	1	390	CARDINAL
easat-2965	120	1	2	CARDINAL
easat-2965	120	2	2	CARDINAL
easat-2965	121	1	390 𝐹𝑛(390,−1	QUANTITY
easat-2965	121	2	390	CARDINAL
easat-2965	123	1	2	CARDINAL
easat-2965	123	2	0	CARDINAL
easat-2965	123	3	𝐹1(390,−1	DATE
easat-2965	123	4	1	CARDINAL
easat-2965	123	5	195 + 4√686 $195	MONEY
easat-2965	124	1	152098	DATE
easat-2965	125	1	390	CARDINAL
easat-2965	125	2	76049 + 1560√686	DATE
easat-2965	126	1	generalized lucas	PERSON
easat-2965	126	2	generalized pell	PERSON
easat-2965	127	1	4.	CARDINAL
easat-2965	127	2	±	CARDINAL
easat-2965	127	3	generalized lucas	PERSON
easat-2965	127	4	generalized pell	PERSON
easat-2965	127	5	generalized pell-lucas	PERSON
easat-2965	129	1	4414	CARDINAL
easat-2965	129	2	2576-8484	DATE
easat-2965	129	3	8	CARDINAL
easat-2965	130	1	6	CARDINAL
easat-2965	130	2	4408-4414	DATE
easat-2965	130	3	2024	CARDINAL
easat-2965	130	4	10.55214/25768484.v8i6.2965	CARDINAL
easat-2965	130	5	2024	CARDINAL
easat-2965	131	1	2024	CARDINAL
easat-2965	132	1	https://creativecommons.org/licenses/by/4.0/	WORK_OF_ART
easat-2965	134	1	1	CARDINAL
easat-2965	134	2	leveque	ORG
easat-2965	134	3	1	CARDINAL
easat-2965	134	4	2	CARDINAL
easat-2965	134	5	dover	GPE
easat-2965	134	6	2002	DATE
easat-2965	135	1	2	CARDINAL
easat-2965	135	2	chelsea publishing company	ORG
easat-2965	135	3	new york	GPE
easat-2965	135	4	1981	DATE
easat-2965	136	1	3	CARDINAL
easat-2965	136	2	201	CARDINAL
easat-2965	136	3	crc press	ORG
easat-2965	136	4	1996	DATE
easat-2965	137	1	4	CARDINAL
easat-2965	137	2	markel dekker	PERSON
easat-2965	138	1	inc.	ORG
easat-2965	139	1	5	CARDINAL
easat-2965	139	2	a. chandoul	PERSON
easat-2965	139	3	1	CARDINAL
easat-2965	139	4	2, 2011	DATE
easat-2965	140	1	11-15	CARDINAL
easat-2965	141	1	6	CARDINAL
easat-2965	141	2	h., & abdo	ORG
easat-2965	141	3	0	CARDINAL
easat-2965	141	4	2021	CARDINAL
easat-2965	141	5	1	CARDINAL
easat-2965	142	1	7	CARDINAL
easat-2965	142	2	w. r	PERSON
easat-2965	142	3	5	CARDINAL
easat-2965	142	4	311	CARDINAL
easat-2965	142	5	8	CARDINAL
easat-2965	143	1	29	CARDINAL
easat-2965	143	2	545553	DATE
easat-2965	144	1	9	CARDINAL
easat-2965	144	2	bala	PERSON
easat-2965	144	3	r., & mishra	ORG
easat-2965	144	4	±	CARDINAL
easat-2965	144	5	2	CARDINAL
easat-2965	145	1	10	CARDINAL
easat-2965	145	2	m. solutions	PERSON
easat-2965	146	1	mathematica aeterna	PERSON
easat-2965	146	2	2(7	DATE
easat-2965	146	3	629-638	CARDINAL
easat-2965	147	1	11	CARDINAL
easat-2965	147	2	2009	DATE
easat-2965	149	1	12	CARDINAL
easat-2965	149	2	s. falcon	PERSON
easat-2965	149	3	a. plaza	GPE
easat-2965	149	4	2	CARDINAL
easat-2965	149	5	33(2007	DATE
easat-2965	149	6	38	CARDINAL
easat-2965	150	1	13	CARDINAL
easat-2965	150	2	a. f. horadam	PERSON
easat-2965	150	3	amer	PERSON
easat-2965	151	1	monthly	DATE
easat-2965	151	2	455-459	QUANTITY
easat-2965	152	1	14	CARDINAL
easat-2965	152	2	d. v. jaiswal	PERSON
easat-2965	153	1	sci. tech	ORG
easat-2965	154	1	67	CARDINAL
easat-2965	155	1	15	CARDINAL
easat-2965	155	2	a. t. krassimir	PERSON
easat-2965	155	3	a. c. liliya	PERSON
easat-2965	155	4	s. d. dimitar	PERSON
easat-2965	156	1	23(1985	CARDINAL
easat-2965	156	2	1	CARDINAL
easat-2965	156	3	21	CARDINAL
easat-2965	157	1	16	CARDINAL
easat-2965	157	2	l. j. zai	PERSON
easat-2965	157	3	l.j. sheng	PERSON
easat-2965	158	1	25(1987	CARDINAL
easat-2965	158	2	2	CARDINAL
easat-2965	158	3	111	CARDINAL
easat-2965	159	1	17	CARDINAL
easat-2965	159	2	d.	NORP
easat-2965	159	3	mena r.	PERSON
easat-2965	159	4	167	CARDINAL
easat-2965	160	1	18	CARDINAL
easat-2965	160	2	w.l.	GPE
easat-2965	160	3	quarterly 33 (1995	DATE
easat-2965	160	4	58-63	DATE
easat-2965	161	1	19	CARDINAL
easat-2965	161	2	r.	NORP
easat-2965	161	3	quarterly 35 (1997	DATE
easat-2965	161	4	248	CARDINAL
easat-2965	162	1	20	CARDINAL
easat-2965	162	2	new york	GPE
easat-2965	162	3	inc.	GPE
easat-2965	162	4	2000	DATE
easat-2965	163	1	21	CARDINAL
easat-2965	163	2	s.	PERSON
easat-2965	163	3	6	CARDINAL
easat-2965	163	4	kluwer	ORG
easat-2965	163	5	netherlands	GPE
easat-2965	163	6	1996	DATE
easat-2965	164	1	389-408	CARDINAL
