id	sid	eid	entity	type
ejpam-6069	1	1	european journal	ORG
ejpam-6069	1	2	2025	DATE
ejpam-6069	1	3	18	CARDINAL
ejpam-6069	1	4	2	CARDINAL
ejpam-6069	1	5	6069	DATE
ejpam-6069	1	6	1307-5543	DATE
ejpam-6069	1	7	new york	GPE
ejpam-6069	1	8	second	ORDINAL
ejpam-6069	1	9	erwin n. arlan1∗	PERSON
ejpam-6069	1	10	maribeth b. montero2	PERSON
ejpam-6069	1	11	1	CARDINAL
ejpam-6069	1	12	caraga state university	ORG
ejpam-6069	1	13	butuan city	GPE
ejpam-6069	1	14	2	CARDINAL
ejpam-6069	1	15	mindanao state university	ORG
ejpam-6069	1	16	marawi city	GPE
ejpam-6069	1	17	philippines	GPE
ejpam-6069	2	1	second	ORDINAL
ejpam-6069	5	1	2020	DATE
ejpam-6069	5	2	05a15, 05a18	CARDINAL
ejpam-6069	5	3	30c15	CARDINAL
ejpam-6069	5	4	1	CARDINAL
ejpam-6069	6	1	combinatorics	ORG
ejpam-6069	9	1	stirling	GPE
ejpam-6069	10	1	1	CARDINAL
ejpam-6069	10	2	second	ORDINAL
ejpam-6069	10	3	second	ORDINAL
ejpam-6069	11	1	second	ORDINAL
ejpam-6069	11	2	sa(n	ORG
ejpam-6069	11	3	n∑ k=0	PERSON
ejpam-6069	11	4	sa(n	ORG
ejpam-6069	11	5	k)(t)n ∗corresponding	ORG
ejpam-6069	12	1	https://doi.org/10.29020/nybg.ejpam.v18i2.6069	GPE
ejpam-6069	12	2	e. n. arlan	PERSON
ejpam-6069	12	3	maribeth.montero@msumain.edu.ph	PERSON
ejpam-6069	12	4	m. b. montero	PERSON
ejpam-6069	13	1	1	CARDINAL
ejpam-6069	13	2	2025	CARDINAL
ejpam-6069	14	1	arlan	PERSON
ejpam-6069	14	2	m.b	PERSON
ejpam-6069	14	3	montero	PERSON
ejpam-6069	15	1	j. pure	PERSON
ejpam-6069	15	2	18	CARDINAL
ejpam-6069	15	3	2	CARDINAL
ejpam-6069	15	4	2025	CARDINAL
ejpam-6069	15	5	6069 2 of 10	DATE
ejpam-6069	16	1	2	CARDINAL
ejpam-6069	17	1	1	CARDINAL
ejpam-6069	17	2	n ≥ 1	DATE
ejpam-6069	17	3	1	CARDINAL
ejpam-6069	17	4	0	CARDINAL
ejpam-6069	17	5	1	CARDINAL
ejpam-6069	17	6	sa(n	ORG
ejpam-6069	17	7	0	CARDINAL
ejpam-6069	19	1	graham	PERSON
ejpam-6069	19	2	knuth	PERSON
ejpam-6069	19	3	2	CARDINAL
ejpam-6069	19	4	second	ORDINAL
ejpam-6069	19	5	s(n	ORG
ejpam-6069	19	6	prodinger	PERSON
ejpam-6069	19	7	3	CARDINAL
ejpam-6069	19	8	second	ORDINAL
ejpam-6069	22	1	second	ORDINAL
ejpam-6069	23	1	1	CARDINAL
ejpam-6069	23	2	1	CARDINAL
ejpam-6069	24	1	n ∈ n	ORG
ejpam-6069	25	1	second	ORDINAL
ejpam-6069	26	1	2	CARDINAL
ejpam-6069	27	1	4	CARDINAL
ejpam-6069	27	2	5	CARDINAL
ejpam-6069	27	3	6	CARDINAL
ejpam-6069	27	4	8	CARDINAL
ejpam-6069	28	1	1	CARDINAL
ejpam-6069	29	1	4	CARDINAL
ejpam-6069	31	1	e.n. arlan	PERSON
ejpam-6069	31	2	m.b	PERSON
ejpam-6069	31	3	montero	PERSON
ejpam-6069	32	1	j. pure	PERSON
ejpam-6069	32	2	18	CARDINAL
ejpam-6069	32	3	2	CARDINAL
ejpam-6069	32	4	2025	CARDINAL
ejpam-6069	32	5	6069 3	DATE
ejpam-6069	33	1	1	CARDINAL
ejpam-6069	34	1	1	CARDINAL
ejpam-6069	34	2	1	CARDINAL
ejpam-6069	35	1	newton	GPE
ejpam-6069	36	1	2	CARDINAL
ejpam-6069	37	1	4	CARDINAL
ejpam-6069	37	2	∞∑	PERSON
ejpam-6069	38	1	1	CARDINAL
ejpam-6069	38	2	0	CARDINAL
ejpam-6069	38	3	2	CARDINAL
ejpam-6069	38	4	+ 1	DATE
ejpam-6069	38	5	0	CARDINAL
ejpam-6069	40	1	stirling	GPE
ejpam-6069	44	1	re(z	NORP
ejpam-6069	45	1	0	CARDINAL
ejpam-6069	46	1	1	CARDINAL
ejpam-6069	46	2	1	CARDINAL
ejpam-6069	46	3	γ(n	ORG
ejpam-6069	47	1	1	CARDINAL
ejpam-6069	48	1	1	CARDINAL
ejpam-6069	48	2	γ(n	ORG
ejpam-6069	49	1	2	CARDINAL
ejpam-6069	49	2	1	CARDINAL
ejpam-6069	50	1	1	CARDINAL
ejpam-6069	51	1	1	CARDINAL
ejpam-6069	53	1	e.n. arlan	PERSON
ejpam-6069	53	2	m.b	PERSON
ejpam-6069	53	3	montero	PERSON
ejpam-6069	54	1	j. pure	PERSON
ejpam-6069	54	2	18	CARDINAL
ejpam-6069	54	3	2	CARDINAL
ejpam-6069	54	4	2025	CARDINAL
ejpam-6069	54	5	6069 4	DATE
ejpam-6069	54	6	10	CARDINAL
ejpam-6069	54	7	3	CARDINAL
ejpam-6069	55	1	9	CARDINAL
ejpam-6069	55	2	1	CARDINAL
ejpam-6069	55	3	1 2πi	CARDINAL
ejpam-6069	57	1	− i0	ORG
ejpam-6069	57	2	− i0	PERSON
ejpam-6069	59	1	4	CARDINAL
ejpam-6069	60	1	2πi ∫	ORG
ejpam-6069	61	1	j − a)x	PERSON
ejpam-6069	63	1	1	CARDINAL
ejpam-6069	63	2	j − a)u	PERSON
ejpam-6069	64	1	j −	PERSON
ejpam-6069	64	2	j − a)−1dt	PERSON
ejpam-6069	65	1	2πi ∫ h e(j−a)u du ux+1	ORG
ejpam-6069	65	2	j − a)s−1	PERSON
ejpam-6069	65	3	1	CARDINAL
ejpam-6069	66	1	2πi ∫ h	ORG
ejpam-6069	68	1	2πi	ORDINAL
ejpam-6069	70	1	3	CARDINAL
ejpam-6069	70	2	γ(s	PRODUCT
ejpam-6069	70	3	2πi ∫ h	ORG
ejpam-6069	71	1	1	CARDINAL
ejpam-6069	71	2	2πi ∫ h e(j−a)u du ux+1	ORG
ejpam-6069	71	3	j − a)x	PERSON
ejpam-6069	72	1	second	ORDINAL
ejpam-6069	74	1	e.n. arlan	PERSON
ejpam-6069	74	2	m.b	PERSON
ejpam-6069	74	3	montero	PERSON
ejpam-6069	75	1	j. pure	PERSON
ejpam-6069	75	2	18	CARDINAL
ejpam-6069	75	3	2	CARDINAL
ejpam-6069	75	4	2025	CARDINAL
ejpam-6069	75	5	6069 5	DATE
ejpam-6069	76	1	sa(n	ORG
ejpam-6069	76	2	∞∑	PERSON
ejpam-6069	77	1	1 k	QUANTITY
ejpam-6069	78	1	eu − 1)k	ORG
ejpam-6069	79	1	sa(n	PRODUCT
ejpam-6069	80	1	un	ORG
ejpam-6069	82	1	1	CARDINAL
ejpam-6069	82	2	2πi	ORDINAL
ejpam-6069	87	1	a distance ≤ 1	QUANTITY
ejpam-6069	88	1	3.1	CARDINAL
ejpam-6069	89	1	second	ORDINAL
ejpam-6069	90	1	1 2πi	CARDINAL
ejpam-6069	91	1	1)ydu	CARDINAL
ejpam-6069	91	2	ux+1	ORG
ejpam-6069	92	1	stirling	GPE
ejpam-6069	93	1	first	ORDINAL
ejpam-6069	94	1	3.1	CARDINAL
ejpam-6069	98	1	first	ORDINAL
ejpam-6069	99	1	2	CARDINAL
ejpam-6069	107	1	e.n. arlan	PERSON
ejpam-6069	107	2	m.b	PERSON
ejpam-6069	107	3	montero	PERSON
ejpam-6069	108	1	j. pure	PERSON
ejpam-6069	108	2	18	CARDINAL
ejpam-6069	108	3	2	CARDINAL
ejpam-6069	108	4	2025	CARDINAL
ejpam-6069	108	5	6069 6 of 10	DATE
ejpam-6069	108	6	3.1	CARDINAL
ejpam-6069	108	7	1 2πi	CARDINAL
ejpam-6069	109	1	k! ∫	ORG
ejpam-6069	111	1	1)kdu	CARDINAL
ejpam-6069	111	2	2πi ∫	ORG
ejpam-6069	112	1	∞∑ k=0	PERSON
ejpam-6069	112	2	eu − 1)k	ORG
ejpam-6069	113	1	newton	GPE
ejpam-6069	113	2	∞∑ k=0	PERSON
ejpam-6069	113	3	eu − 1)k	ORG
ejpam-6069	114	1	∞∑ k=0	PERSON
ejpam-6069	115	1	1)k	CARDINAL
ejpam-6069	117	1	1	CARDINAL
ejpam-6069	117	2	lemma 4	ORG
ejpam-6069	118	1	2πi ∫ h	ORG
ejpam-6069	119	1	3.2	CARDINAL
ejpam-6069	120	1	0	CARDINAL
ejpam-6069	121	1	1	CARDINAL
ejpam-6069	121	2	1	CARDINAL
ejpam-6069	121	3	1	CARDINAL
ejpam-6069	123	1	3.1	CARDINAL
ejpam-6069	123	2	1 2πi	CARDINAL
ejpam-6069	124	1	1)ydu	CARDINAL
ejpam-6069	125	1	− 1)y	CARDINAL
ejpam-6069	126	1	1)y−1	CARDINAL
ejpam-6069	126	2	1	CARDINAL
ejpam-6069	128	1	1 2πi	CARDINAL
ejpam-6069	132	1	u → −∞	ORG
ejpam-6069	132	2	1	CARDINAL
ejpam-6069	132	3	0	CARDINAL
ejpam-6069	132	4	1 2πi	CARDINAL
ejpam-6069	133	1	− ∫ h 1 −xux	ORG
ejpam-6069	134	1	1)y−1	CARDINAL
ejpam-6069	136	1	1 2πi	CARDINAL
ejpam-6069	136	2	1	CARDINAL
ejpam-6069	139	1	ye−au(eu	NORP
ejpam-6069	139	2	1 2πi	CARDINAL
ejpam-6069	139	3	1	CARDINAL
ejpam-6069	143	1	1 2πi	CARDINAL
ejpam-6069	143	2	1	CARDINAL
ejpam-6069	146	1	1)ydu	ORDINAL
ejpam-6069	147	1	e.n. arlan	PERSON
ejpam-6069	147	2	m.b	PERSON
ejpam-6069	147	3	montero	PERSON
ejpam-6069	148	1	j. pure	PERSON
ejpam-6069	148	2	18	CARDINAL
ejpam-6069	148	3	2	CARDINAL
ejpam-6069	148	4	2025	CARDINAL
ejpam-6069	148	5	6069 7	DATE
ejpam-6069	148	6	10	CARDINAL
ejpam-6069	148	7	3.1	CARDINAL
ejpam-6069	148	8	1	CARDINAL
ejpam-6069	148	9	1	CARDINAL
ejpam-6069	148	10	1	CARDINAL
ejpam-6069	150	1	3.3	CARDINAL
ejpam-6069	151	1	integer k	PERSON
ejpam-6069	154	1	3.1	CARDINAL
ejpam-6069	154	2	1 2πi	CARDINAL
ejpam-6069	155	1	k! ∫	ORG
ejpam-6069	157	1	1)kdu	CARDINAL
ejpam-6069	158	1	eu − 1)k	ORG
ejpam-6069	158	2	j=0	GPE
ejpam-6069	158	3	j=0	GPE
ejpam-6069	158	4	k j	PERSON
ejpam-6069	159	1	1 2πi	CARDINAL
ejpam-6069	165	1	lemma 4	ORG
ejpam-6069	168	1	−1	DATE
ejpam-6069	169	1	s−1(i	ORG
ejpam-6069	169	2	0	DATE
ejpam-6069	169	3	1	CARDINAL
ejpam-6069	169	4	1	CARDINAL
ejpam-6069	170	1	1 0	CARDINAL
ejpam-6069	171	1	1(−1)0	CARDINAL
ejpam-6069	171	2	1i	CARDINAL
ejpam-6069	171	3	1	CARDINAL
ejpam-6069	171	4	arlan	PERSON
ejpam-6069	171	5	m.b	PERSON
ejpam-6069	171	6	montero	PERSON
ejpam-6069	172	1	j. pure	PERSON
ejpam-6069	172	2	18	CARDINAL
ejpam-6069	172	3	2	CARDINAL
ejpam-6069	172	4	2025	CARDINAL
ejpam-6069	172	5	6069 8	DATE
ejpam-6069	172	6	10	CARDINAL
ejpam-6069	172	7	1	CARDINAL
ejpam-6069	172	8	1 1	CARDINAL
ejpam-6069	173	1	1∑	CARDINAL
ejpam-6069	173	2	1	CARDINAL
ejpam-6069	173	3	1	CARDINAL
ejpam-6069	173	4	−1)0	CARDINAL
ejpam-6069	173	5	1 + 1)i	CARDINAL
ejpam-6069	173	6	2	CARDINAL
ejpam-6069	173	7	2	CARDINAL
ejpam-6069	174	1	1	CARDINAL
ejpam-6069	174	2	1 1	CARDINAL
ejpam-6069	175	1	1∑	CARDINAL
ejpam-6069	175	2	1	CARDINAL
ejpam-6069	175	3	1	CARDINAL
ejpam-6069	175	4	0 + 1)1+i +	DATE
ejpam-6069	175	5	−1)0	CARDINAL
ejpam-6069	175	6	1 + 1)1+i	DATE
ejpam-6069	175	7	−1 + 2 cos	MONEY
ejpam-6069	175	8	2	CARDINAL
ejpam-6069	175	9	2	CARDINAL
ejpam-6069	176	1	1	CARDINAL
ejpam-6069	176	2	3.2	CARDINAL
ejpam-6069	176	3	1	CARDINAL
ejpam-6069	176	4	1 + i)− 1	DATE
ejpam-6069	176	5	1− 1	DATE
ejpam-6069	178	1	1 + i)− 1	DATE
ejpam-6069	178	2	1	CARDINAL
ejpam-6069	179	1	2	CARDINAL
ejpam-6069	179	2	1	CARDINAL
ejpam-6069	179	3	1 + 2	CARDINAL
ejpam-6069	179	4	2	CARDINAL
ejpam-6069	179	5	2	CARDINAL
ejpam-6069	180	1	−1 + 2 cos	MONEY
ejpam-6069	180	2	2	CARDINAL
ejpam-6069	180	3	2	CARDINAL
ejpam-6069	181	1	3.3	CARDINAL
ejpam-6069	181	2	3.4	CARDINAL
ejpam-6069	182	1	1	CARDINAL
ejpam-6069	185	1	newton	GPE
ejpam-6069	187	1	e.n. arlan	PERSON
ejpam-6069	187	2	m.b	PERSON
ejpam-6069	187	3	montero	PERSON
ejpam-6069	188	1	j. pure	PERSON
ejpam-6069	188	2	18	CARDINAL
ejpam-6069	188	3	2	CARDINAL
ejpam-6069	188	4	2025	CARDINAL
ejpam-6069	188	5	6069 9	DATE
ejpam-6069	188	6	10	CARDINAL
ejpam-6069	188	7	3.1	CARDINAL
ejpam-6069	189	1	1 2πi	CARDINAL
ejpam-6069	192	1	1 2πi	CARDINAL
ejpam-6069	193	1	∞∑ k=0	PERSON
ejpam-6069	194	1	1	CARDINAL
ejpam-6069	195	1	∞∑ k=0	PERSON
ejpam-6069	195	2	2πi ∫ h e(j−a)u du ux+1	ORG
ejpam-6069	196	1	lemma 4	ORG
ejpam-6069	196	2	1	CARDINAL
ejpam-6069	198	1	4.	CARDINAL
ejpam-6069	198	2	second	ORDINAL
ejpam-6069	201	1	10	CARDINAL
ejpam-6069	201	2	11	CARDINAL
ejpam-6069	203	1	second	ORDINAL
ejpam-6069	203	2	12	CARDINAL
ejpam-6069	203	3	13	CARDINAL
ejpam-6069	204	1	mary	PERSON
ejpam-6069	204	2	d. regidorlatayada	PERSON
ejpam-6069	205	1	1	CARDINAL
ejpam-6069	205	2	m. koutras	PERSON
ejpam-6069	207	1	42:73–89, 1982	DATE
ejpam-6069	208	1	e.n. arlan	PERSON
ejpam-6069	208	2	m.b	PERSON
ejpam-6069	208	3	montero	PERSON
ejpam-6069	209	1	j. pure	PERSON
ejpam-6069	209	2	18	CARDINAL
ejpam-6069	209	3	2	CARDINAL
ejpam-6069	209	4	2025	CARDINAL
ejpam-6069	209	5	6069 10	DATE
ejpam-6069	209	6	2	CARDINAL
ejpam-6069	209	7	r.l. graham	PERSON
ejpam-6069	209	8	d.e.	GPE
ejpam-6069	209	9	knuth	ORG
ejpam-6069	211	1	addison-wesley, 1989	ORG
ejpam-6069	212	1	3	CARDINAL
ejpam-6069	212	2	h. prodinger	PERSON
ejpam-6069	214	1	siam	GPE
ejpam-6069	214	2	12(2):155–159, 1999	DATE
ejpam-6069	215	1	4	CARDINAL
ejpam-6069	215	2	c. chen	PERSON
ejpam-6069	215	3	k-m. koh	PERSON
ejpam-6069	217	1	1992	DATE
ejpam-6069	218	1	5	CARDINAL
ejpam-6069	220	1	reidel	NORP
ejpam-6069	220	2	dordrecht	ORG
ejpam-6069	220	3	netherlands	GPE
ejpam-6069	220	4	1974	DATE
ejpam-6069	221	1	6	CARDINAL
ejpam-6069	221	2	churchill	PERSON
ejpam-6069	221	3	j.w.	GPE
ejpam-6069	223	1	mcgraw-hill, inc.	ORG
ejpam-6069	223	2	5th	ORDINAL
ejpam-6069	223	3	1990	DATE
ejpam-6069	224	1	7	CARDINAL
ejpam-6069	226	1	1974	DATE
ejpam-6069	227	1	8	CARDINAL
ejpam-6069	229	1	cacho hermanos	PERSON
ejpam-6069	229	2	inc.	GPE
ejpam-6069	229	3	2nd	ORDINAL
ejpam-6069	229	4	1976	DATE
ejpam-6069	230	1	9	CARDINAL
ejpam-6069	230	2	d. lozier	PERSON
ejpam-6069	230	3	r. boisvert	PERSON
ejpam-6069	230	4	nist	NORP
ejpam-6069	231	1	cambridge press	ORG
ejpam-6069	231	2	2010	DATE
ejpam-6069	232	1	10	CARDINAL
ejpam-6069	232	2	roberto b. corcino	PERSON
ejpam-6069	232	3	harren jaylo-campos	PERSON
ejpam-6069	234	1	2(2):1–10	CARDINAL
ejpam-6069	234	2	2014	DATE
ejpam-6069	235	1	11	CARDINAL
ejpam-6069	235	2	roberto b. corcino	PERSON
ejpam-6069	235	3	cristina b. corcino	PERSON
ejpam-6069	235	4	maribeth b. montero	PERSON
ejpam-6069	237	1	2015	DATE
ejpam-6069	238	1	12	CARDINAL
ejpam-6069	238	2	miloud mihoubi	PERSON
ejpam-6069	238	3	mohammed	PERSON
ejpam-6069	239	1	second	ORDINAL
ejpam-6069	240	1	12(5):1047–1059	CARDINAL
ejpam-6069	240	2	2012	DATE
ejpam-6069	241	1	13	CARDINAL
ejpam-6069	241	2	william ramı́rez	PERSON
ejpam-6069	242	1	euler	PERSON
ejpam-6069	243	1	10(2):3623–3641	CARDINAL
ejpam-6069	243	2	2025	DATE