id	sid	eid	entity	type
ejpam-6211	1	1	european journal	ORG
ejpam-6211	1	2	2025	DATE
ejpam-6211	1	3	18	CARDINAL
ejpam-6211	1	4	3	CARDINAL
ejpam-6211	1	5	6211	CARDINAL
ejpam-6211	1	6	new york	GPE
ejpam-6211	1	7	romeo a. coronel2	PERSON
ejpam-6211	1	8	roberto b. corcino1,2,∗ 1	PERSON
ejpam-6211	1	9	6000	CARDINAL
ejpam-6211	1	10	cebu city	GPE
ejpam-6211	1	11	2	CARDINAL
ejpam-6211	1	12	6000	CARDINAL
ejpam-6211	1	13	cebu city	GPE
ejpam-6211	1	14	philippines	GPE
ejpam-6211	2	1	first	ORDINAL
ejpam-6211	2	2	second	ORDINAL
ejpam-6211	5	1	stirling	GPE
ejpam-6211	8	1	2020	DATE
ejpam-6211	8	2	11b68	CARDINAL
ejpam-6211	8	3	11b73	CARDINAL
ejpam-6211	8	4	05a15	CARDINAL
ejpam-6211	8	5	first	ORDINAL
ejpam-6211	8	6	second	ORDINAL
ejpam-6211	8	7	1	CARDINAL
ejpam-6211	9	1	james stirling	PERSON
ejpam-6211	9	2	scottish	NORP
ejpam-6211	9	3	stirling	ORG
ejpam-6211	9	4	1	CARDINAL
ejpam-6211	11	1	two	CARDINAL
ejpam-6211	11	2	2	CARDINAL
ejpam-6211	11	3	second	ORDINAL
ejpam-6211	13	1	r.a. coronel	PERSON
ejpam-6211	13	2	r. b. corcino	PERSON
ejpam-6211	14	1	1	CARDINAL
ejpam-6211	14	2	2025	CARDINAL
ejpam-6211	15	1	2	CARDINAL
ejpam-6211	15	2	23	CARDINAL
ejpam-6211	16	1	∞∑ n=0 s(n	PERSON
ejpam-6211	17	1	∞∑ n=0 s(n	PERSON
ejpam-6211	18	1	1)(x	CARDINAL
ejpam-6211	18	2	2	CARDINAL
ejpam-6211	19	1	∏n	DATE
ejpam-6211	21	1	first	ORDINAL
ejpam-6211	21	2	second	ORDINAL
ejpam-6211	22	1	the years	DATE
ejpam-6211	24	1	2–7	CARDINAL
ejpam-6211	24	2	one	CARDINAL
ejpam-6211	24	3	a.z. broder	PERSON
ejpam-6211	25	1	8	CARDINAL
ejpam-6211	25	2	first	ORDINAL
ejpam-6211	25	3	second	ORDINAL
ejpam-6211	27	1	corcino	NORP
ejpam-6211	27	2	2023,[9	CARDINAL
ejpam-6211	28	1	leonardo pisa	PERSON
ejpam-6211	28	2	italian	NORP
ejpam-6211	28	3	1202	DATE
ejpam-6211	28	4	10	CARDINAL
ejpam-6211	29	1	indian	NORP
ejpam-6211	30	1	c.a church	ORG
ejpam-6211	32	1	n=0	DATE
ejpam-6211	33	1	1.1	CARDINAL
ejpam-6211	33	2	n=0	DATE
ejpam-6211	33	3	f1	PERSON
ejpam-6211	33	4	1	CARDINAL
ejpam-6211	34	1	1+ √ 5	DATE
ejpam-6211	34	2	2	DATE
ejpam-6211	34	3	1− √ 5	DATE
ejpam-6211	34	4	2	CARDINAL
ejpam-6211	36	1	one	CARDINAL
ejpam-6211	39	1	3	CARDINAL
ejpam-6211	39	2	23	CARDINAL
ejpam-6211	39	3	12–14	CARDINAL
ejpam-6211	39	4	bernoulli	PERSON
ejpam-6211	39	5	euler	PERSON
ejpam-6211	40	1	n=0	DATE
ejpam-6211	41	1	t (1 +	DATE
ejpam-6211	41	2	1	CARDINAL
ejpam-6211	41	3	1	CARDINAL
ejpam-6211	42	1	∞∑ n=0 bn(x	PERSON
ejpam-6211	42	2	2	CARDINAL
ejpam-6211	42	3	1	CARDINAL
ejpam-6211	42	4	n=0	PERSON
ejpam-6211	43	1	2	CARDINAL
ejpam-6211	43	2	1	CARDINAL
ejpam-6211	46	1	1	CARDINAL
ejpam-6211	46	2	1 +	DATE
ejpam-6211	47	1	ν	NORP
ejpam-6211	48	1	λ(1	PRODUCT
ejpam-6211	48	2	1	CARDINAL
ejpam-6211	51	1	n=0	PERSON
ejpam-6211	51	2	2	CARDINAL
ejpam-6211	51	3	1	CARDINAL
ejpam-6211	53	1	n=0	PERSON
ejpam-6211	54	1	2t)m	CARDINAL
ejpam-6211	55	1	1	CARDINAL
ejpam-6211	57	1	first	ORDINAL
ejpam-6211	57	2	second	ORDINAL
ejpam-6211	60	1	2	CARDINAL
ejpam-6211	60	2	fibonacci polynomials fibonacci	ORG
ejpam-6211	60	3	1	CARDINAL
ejpam-6211	62	1	1	CARDINAL
ejpam-6211	63	1	1	CARDINAL
ejpam-6211	63	2	1	CARDINAL
ejpam-6211	63	3	1	CARDINAL
ejpam-6211	64	1	1) n−2(x	TIME
ejpam-6211	64	2	2.1	CARDINAL
ejpam-6211	64	3	4	CARDINAL
ejpam-6211	64	4	23	CARDINAL
ejpam-6211	64	5	1) n−2(x	TIME
ejpam-6211	65	1	combinatorics	ORG
ejpam-6211	66	1	1	CARDINAL
ejpam-6211	67	1	•	CARDINAL
ejpam-6211	67	2	1	CARDINAL
ejpam-6211	68	1	•	CARDINAL
ejpam-6211	68	2	1	CARDINAL
ejpam-6211	68	3	2	CARDINAL
ejpam-6211	70	1	first	ORDINAL
ejpam-6211	70	2	1	CARDINAL
ejpam-6211	72	1	1	CARDINAL
ejpam-6211	72	2	1	CARDINAL
ejpam-6211	72	3	1	CARDINAL
ejpam-6211	72	4	1	CARDINAL
ejpam-6211	74	1	+ 1	DATE
ejpam-6211	74	2	1	CARDINAL
ejpam-6211	76	1	1	CARDINAL
ejpam-6211	76	2	1	CARDINAL
ejpam-6211	76	3	1	CARDINAL
ejpam-6211	76	4	1	CARDINAL
ejpam-6211	77	1	r2 − xr − 1	PERSON
ejpam-6211	83	1	α(x)− β(x	GPE
ejpam-6211	83	2	5	CARDINAL
ejpam-6211	83	3	23	CARDINAL
ejpam-6211	84	1	n=0	DATE
ejpam-6211	84	2	1	CARDINAL
ejpam-6211	84	3	1− xt−	PERCENT
ejpam-6211	84	4	2.2	CARDINAL
ejpam-6211	86	1	1	CARDINAL
ejpam-6211	86	2	k=1 f	PERSON
ejpam-6211	86	3	1	CARDINAL
ejpam-6211	86	4	1	CARDINAL
ejpam-6211	86	5	(x)f (1	DATE
ejpam-6211	87	1	1	CARDINAL
ejpam-6211	88	1	second	ORDINAL
ejpam-6211	89	1	2.2	CARDINAL
ejpam-6211	89	2	first	ORDINAL
ejpam-6211	90	1	2.1	CARDINAL
ejpam-6211	91	1	second	ORDINAL
ejpam-6211	91	2	2	CARDINAL
ejpam-6211	92	1	n=0	DATE
ejpam-6211	92	2	2	CARDINAL
ejpam-6211	93	1	2.3	CARDINAL
ejpam-6211	93	2	2.3	CARDINAL
ejpam-6211	93	3	1.1	CARDINAL
ejpam-6211	94	1	2	CARDINAL
ejpam-6211	95	1	two	CARDINAL
ejpam-6211	95	2	n=0	DATE
ejpam-6211	95	3	2	CARDINAL
ejpam-6211	97	1	∞∑ n=0	PERSON
ejpam-6211	101	1	6	CARDINAL
ejpam-6211	101	2	23	CARDINAL
ejpam-6211	101	3	2.2	CARDINAL
ejpam-6211	102	1	second	ORDINAL
ejpam-6211	102	2	2	CARDINAL
ejpam-6211	103	1	2.4	CARDINAL
ejpam-6211	103	2	second	ORDINAL
ejpam-6211	104	1	2.3	CARDINAL
ejpam-6211	105	1	second	ORDINAL
ejpam-6211	105	2	2	CARDINAL
ejpam-6211	106	1	2	CARDINAL
ejpam-6211	107	1	2.5	CARDINAL
ejpam-6211	108	1	n=0	DATE
ejpam-6211	108	2	2	CARDINAL
ejpam-6211	109	1	∞∑	PERSON
ejpam-6211	109	2	n=0	DATE
ejpam-6211	109	3	2	CARDINAL
ejpam-6211	110	1	∞∑ n=0 yn tn	PERSON
ejpam-6211	112	1	2	CARDINAL
ejpam-6211	114	1	2.3	CARDINAL
ejpam-6211	114	2	2	CARDINAL
ejpam-6211	115	1	n=0	DATE
ejpam-6211	115	2	2	CARDINAL
ejpam-6211	117	1	n=0	DATE
ejpam-6211	117	2	2	CARDINAL
ejpam-6211	119	1	2	CARDINAL
ejpam-6211	119	2	2.4	DATE
ejpam-6211	120	1	second	ORDINAL
ejpam-6211	120	2	2	CARDINAL
ejpam-6211	120	3	2	CARDINAL
ejpam-6211	121	1	2.6	CARDINAL
ejpam-6211	121	2	second	ORDINAL
ejpam-6211	122	1	7	CARDINAL
ejpam-6211	122	2	23	CARDINAL
ejpam-6211	122	3	2.5	CARDINAL
ejpam-6211	123	1	third	ORDINAL
ejpam-6211	123	2	3	CARDINAL
ejpam-6211	123	3	1 +	DATE
ejpam-6211	123	4	n=0	DATE
ejpam-6211	123	5	3	CARDINAL
ejpam-6211	124	1	2.7	CARDINAL
ejpam-6211	124	2	2.3	CARDINAL
ejpam-6211	124	3	1.1	CARDINAL
ejpam-6211	125	1	3	CARDINAL
ejpam-6211	126	1	two	CARDINAL
ejpam-6211	126	2	n=0	DATE
ejpam-6211	126	3	3	CARDINAL
ejpam-6211	128	1	∞∑ n=0	PERSON
ejpam-6211	129	1	∞∑ n=0	PERSON
ejpam-6211	132	1	2.6	CARDINAL
ejpam-6211	133	1	third	ORDINAL
ejpam-6211	133	2	3	CARDINAL
ejpam-6211	134	1	2.8	CARDINAL
ejpam-6211	134	2	third	ORDINAL
ejpam-6211	135	1	2.7	CARDINAL
ejpam-6211	136	1	third	ORDINAL
ejpam-6211	136	2	2	CARDINAL
ejpam-6211	137	1	2	CARDINAL
ejpam-6211	138	1	2.9	CARDINAL
ejpam-6211	139	1	n=0	DATE
ejpam-6211	139	2	3	CARDINAL
ejpam-6211	140	1	∞∑	PERSON
ejpam-6211	140	2	n=0	DATE
ejpam-6211	140	3	3	CARDINAL
ejpam-6211	144	1	2	CARDINAL
ejpam-6211	147	1	1 +	DATE
ejpam-6211	147	2	1 +	QUANTITY
ejpam-6211	148	1	8	CARDINAL
ejpam-6211	148	2	23	CARDINAL
ejpam-6211	148	3	2.7	CARDINAL
ejpam-6211	148	4	3	CARDINAL
ejpam-6211	150	1	n=0	DATE
ejpam-6211	150	2	3	CARDINAL
ejpam-6211	152	1	∞∑ n=0	PERSON
ejpam-6211	153	1	3	CARDINAL
ejpam-6211	155	1	2.8	CARDINAL
ejpam-6211	156	1	second	ORDINAL
ejpam-6211	156	2	3	CARDINAL
ejpam-6211	158	1	3	CARDINAL
ejpam-6211	159	1	2.10	CARDINAL
ejpam-6211	159	2	3	CARDINAL
ejpam-6211	159	3	first	ORDINAL
ejpam-6211	159	4	second	ORDINAL
ejpam-6211	164	1	3.1	CARDINAL
ejpam-6211	165	1	first	ORDINAL
ejpam-6211	166	1	1 1 +	DATE
ejpam-6211	168	1	3.1	CARDINAL
ejpam-6211	168	2	1+ √ 5	DATE
ejpam-6211	168	3	2	DATE
ejpam-6211	168	4	1− √ 5	DATE
ejpam-6211	168	5	2	CARDINAL
ejpam-6211	168	6	√ 5	DATE
ejpam-6211	168	7	3.2	DATE
ejpam-6211	169	1	second	ORDINAL
ejpam-6211	173	1	3.2	CARDINAL
ejpam-6211	173	2	1+ √ 5	DATE
ejpam-6211	173	3	2	DATE
ejpam-6211	173	4	1− √ 5	DATE
ejpam-6211	173	5	2	CARDINAL
ejpam-6211	173	6	√ 5	DATE
ejpam-6211	173	7	9	CARDINAL
ejpam-6211	173	8	23	CARDINAL
ejpam-6211	173	9	3.3	CARDINAL
ejpam-6211	174	1	first	ORDINAL
ejpam-6211	174	2	second	ORDINAL
ejpam-6211	174	3	=k	PERSON
ejpam-6211	177	1	fn−m	CARDINAL
ejpam-6211	177	2	3.3	CARDINAL
ejpam-6211	178	1	=k	PERSON
ejpam-6211	179	1	fn−m	CARDINAL
ejpam-6211	179	2	3.4	CARDINAL
ejpam-6211	180	1	2 n(k	PERSON
ejpam-6211	181	1	3.1	CARDINAL
ejpam-6211	182	1	∞∑ n=0	PERSON
ejpam-6211	191	1	=k ̂[m+	PERSON
ejpam-6211	193	1	3.2	CARDINAL
ejpam-6211	194	1	∞∑	PERSON
ejpam-6211	204	1	=k { n+ r	PERSON
ejpam-6211	205	1	fn−m 10	CARDINAL
ejpam-6211	205	2	23	CARDINAL
ejpam-6211	205	3	3.4	CARDINAL
ejpam-6211	206	1	first	ORDINAL
ejpam-6211	206	2	second	ORDINAL
ejpam-6211	206	3	n∑ k=0	PERSON
ejpam-6211	206	4	1 n	QUANTITY
ejpam-6211	206	5	3	CARDINAL
ejpam-6211	206	6	3.5	CARDINAL
ejpam-6211	207	1	2 n	QUANTITY
ejpam-6211	207	2	2	CARDINAL
ejpam-6211	207	3	3.6	CARDINAL
ejpam-6211	207	4	3.1	CARDINAL
ejpam-6211	207	5	∞∑ k=0	PERSON
ejpam-6211	210	1	∑	PERSON
ejpam-6211	212	1	n∑ k=0	PERSON
ejpam-6211	214	1	n∑ k=0	PERSON
ejpam-6211	215	1	3	CARDINAL
ejpam-6211	216	1	3.2	CARDINAL
ejpam-6211	216	2	∞∑ k=0	PERSON
ejpam-6211	219	1	∞∑	PERSON
ejpam-6211	219	2	1)k	CARDINAL
ejpam-6211	222	1	1)z	CARDINAL
ejpam-6211	222	2	ert+zt	NORP
ejpam-6211	222	3	∞∑ n=0	PERSON
ejpam-6211	224	1	11	CARDINAL
ejpam-6211	224	2	23	CARDINAL
ejpam-6211	225	1	n∑ k=0	PERSON
ejpam-6211	227	1	2	CARDINAL
ejpam-6211	227	2	3.5	CARDINAL
ejpam-6211	228	1	=k m∑ j=0	PERSON
ejpam-6211	229	1	m−	NORP
ejpam-6211	229	2	1 +	DATE
ejpam-6211	229	3	3.7	CARDINAL
ejpam-6211	229	4	2m− k m−	QUANTITY
ejpam-6211	231	1	3.1	CARDINAL
ejpam-6211	231	2	three	CARDINAL
ejpam-6211	231	3	first	ORDINAL
ejpam-6211	231	4	1 1 +	QUANTITY
ejpam-6211	231	5	1 +	CARDINAL
ejpam-6211	233	1	newton	ORG
ejpam-6211	234	1	newton	GPE
ejpam-6211	234	2	1 + ∑	QUANTITY
ejpam-6211	234	3	1	CARDINAL
ejpam-6211	236	1	+ 1	DATE
ejpam-6211	237	1	1	CARDINAL
ejpam-6211	239	1	+ 1	DATE
ejpam-6211	240	1	1	CARDINAL
ejpam-6211	241	1	1	CARDINAL
ejpam-6211	241	2	1 + ∑	QUANTITY
ejpam-6211	241	3	12	CARDINAL
ejpam-6211	241	4	23	CARDINAL
ejpam-6211	242	1	second	ORDINAL
ejpam-6211	243	1	n=0	DATE
ejpam-6211	244	1	third	ORDINAL
ejpam-6211	244	2	1 +	DATE
ejpam-6211	247	1	∑	PERSON
ejpam-6211	247	2	−1)n rn tn n!	ORG
ejpam-6211	249	1	n≥k s(n	PERSON
ejpam-6211	252	1	∑	ORG
ejpam-6211	252	2	−1)n rn tn n!	ORG
ejpam-6211	253	1	∞∑	PERSON
ejpam-6211	253	2	=k s(m	PERSON
ejpam-6211	255	1	n∑ m=0 n∑ j	PERSON
ejpam-6211	258	1	n∑ m=0 n∑ j	PERSON
ejpam-6211	259	1	j m	PERSON
ejpam-6211	259	2	fj−mrn−j	CARDINAL
ejpam-6211	259	3	first	ORDINAL
ejpam-6211	260	1	1 +	DATE
ejpam-6211	261	1	2n−	CARDINAL
ejpam-6211	261	2	k n− k − r	ORG
ejpam-6211	261	3	j)n−k+r	DATE
ejpam-6211	263	1	=k m∑ j=0	PERSON
ejpam-6211	264	1	m−	NORP
ejpam-6211	264	2	1 +	DATE
ejpam-6211	264	3	2m− k m−	QUANTITY
ejpam-6211	266	1	13	CARDINAL
ejpam-6211	266	2	23	CARDINAL
ejpam-6211	266	3	3.6	CARDINAL
ejpam-6211	267	1	second	ORDINAL
ejpam-6211	269	1	3.8	CARDINAL
ejpam-6211	269	2	3.2	CARDINAL
ejpam-6211	272	1	∞∑	PERSON
ejpam-6211	274	1	∞∑ n=0 k	PERSON
ejpam-6211	280	1	first	ORDINAL
ejpam-6211	280	2	second	ORDINAL
ejpam-6211	284	1	4.1	CARDINAL
ejpam-6211	285	1	first	ORDINAL
ejpam-6211	285	2	second	ORDINAL
ejpam-6211	285	3	ϕ(t	PERSON
ejpam-6211	287	1	1 1 +	DATE
ejpam-6211	287	2	2e	CARDINAL
ejpam-6211	287	3	2	CARDINAL
ejpam-6211	291	1	4.1	CARDINAL
ejpam-6211	294	1	2e	CARDINAL
ejpam-6211	294	2	2	CARDINAL
ejpam-6211	294	3	1)k	CARDINAL
ejpam-6211	296	1	4.2	CARDINAL
ejpam-6211	296	2	14	CARDINAL
ejpam-6211	296	3	23	CARDINAL
ejpam-6211	296	4	4.2	CARDINAL
ejpam-6211	297	1	first	ORDINAL
ejpam-6211	297	2	second	ORDINAL
ejpam-6211	297	3	=k	PERSON
ejpam-6211	300	1	4.3	CARDINAL
ejpam-6211	302	1	=k	PERSON
ejpam-6211	302	2	4.4	CARDINAL
ejpam-6211	303	1	2 n(k	PERSON
ejpam-6211	304	1	2.3	CARDINAL
ejpam-6211	304	2	4.3	CARDINAL
ejpam-6211	305	1	first	ORDINAL
ejpam-6211	305	2	second	ORDINAL
ejpam-6211	306	1	3	CARDINAL
ejpam-6211	306	2	4.5	CARDINAL
ejpam-6211	307	1	2	CARDINAL
ejpam-6211	307	2	4.6	CARDINAL
ejpam-6211	308	1	2.4	CARDINAL
ejpam-6211	309	1	4.4	CARDINAL
ejpam-6211	310	1	=k m∑ j=0	PERSON
ejpam-6211	311	1	4.7	CARDINAL
ejpam-6211	312	1	2m− k m−	QUANTITY
ejpam-6211	314	1	2.5	CARDINAL
ejpam-6211	315	1	4.5	CARDINAL
ejpam-6211	316	1	second	ORDINAL
ejpam-6211	317	1	4.8	CARDINAL
ejpam-6211	317	2	2.6	CARDINAL
ejpam-6211	317	3	15	CARDINAL
ejpam-6211	318	1	stirling	GPE
ejpam-6211	319	1	two	CARDINAL
ejpam-6211	319	2	first	ORDINAL
ejpam-6211	319	3	second	ORDINAL
ejpam-6211	322	1	5.1	CARDINAL
ejpam-6211	323	1	first	ORDINAL
ejpam-6211	323	2	first	ORDINAL
ejpam-6211	323	3	second	ORDINAL
ejpam-6211	324	1	n=0	DATE
ejpam-6211	325	1	5.1	CARDINAL
ejpam-6211	326	1	2ext	CARDINAL
ejpam-6211	326	2	1	CARDINAL
ejpam-6211	331	1	n=0	DATE
ejpam-6211	332	1	5.2	CARDINAL
ejpam-6211	333	1	2ext	CARDINAL
ejpam-6211	333	2	1	CARDINAL
ejpam-6211	333	3	− 1	EVENT
ejpam-6211	335	1	5.2	CARDINAL
ejpam-6211	336	1	second	ORDINAL
ejpam-6211	336	2	first	ORDINAL
ejpam-6211	336	3	second	ORDINAL
ejpam-6211	337	1	n=0	DATE
ejpam-6211	338	1	5.3	CARDINAL
ejpam-6211	339	1	1	CARDINAL
ejpam-6211	340	1	1	CARDINAL
ejpam-6211	340	2	1	CARDINAL
ejpam-6211	345	1	5.4	CARDINAL
ejpam-6211	345	2	1	CARDINAL
ejpam-6211	346	1	1	CARDINAL
ejpam-6211	346	2	1	CARDINAL
ejpam-6211	349	1	16	CARDINAL
ejpam-6211	349	2	23	CARDINAL
ejpam-6211	349	3	5.3	CARDINAL
ejpam-6211	350	1	k=0	PERSON
ejpam-6211	350	2	st 1 k	PERSON
ejpam-6211	351	1	1− (−1)n−k	DATE
ejpam-6211	351	2	5.5	CARDINAL
ejpam-6211	352	1	n∑ k=1	PERSON
ejpam-6211	353	1	2 + 2	DATE
ejpam-6211	353	2	2	CARDINAL
ejpam-6211	353	3	2k−1	CARDINAL
ejpam-6211	355	1	1	CARDINAL
ejpam-6211	355	2	1 + (−1)n−k	DATE
ejpam-6211	355	3	5.6	CARDINAL
ejpam-6211	356	1	5.5	CARDINAL
ejpam-6211	356	2	4.1	CARDINAL
ejpam-6211	356	3	5.1	CARDINAL
ejpam-6211	358	1	2r	CARDINAL
ejpam-6211	358	2	1 +	CARDINAL
ejpam-6211	358	3	2+t 2	CARDINAL
ejpam-6211	360	1	2	CARDINAL
ejpam-6211	360	2	2 +	CARDINAL
ejpam-6211	361	1	5.7	CARDINAL
ejpam-6211	361	2	lhs	PERSON
ejpam-6211	361	3	lhs =	PERSON
ejpam-6211	362	1	n=0	DATE
ejpam-6211	362	2	k=0	PERSON
ejpam-6211	362	3	st 1 k	PERSON
ejpam-6211	362	4	1 2n	CARDINAL
ejpam-6211	363	1	1− (−1)n−k	DATE
ejpam-6211	365	1	2 + 2	DATE
ejpam-6211	365	2	2	CARDINAL
ejpam-6211	368	1	n=0 n∑ k=1	PERSON
ejpam-6211	369	1	1 k	QUANTITY
ejpam-6211	369	2	1 2	CARDINAL
ejpam-6211	369	3	1 + (−1)n−k)	DATE
ejpam-6211	371	1	5.7	CARDINAL
ejpam-6211	371	2	k=0	PERSON
ejpam-6211	371	3	st 1 k	PERSON
ejpam-6211	371	4	1 2n	CARDINAL
ejpam-6211	372	1	1− (−1)n−k	DATE
ejpam-6211	373	1	2 + 2	DATE
ejpam-6211	373	2	2	CARDINAL
ejpam-6211	376	1	n=0 n∑ k=1	PERSON
ejpam-6211	377	1	1 k	QUANTITY
ejpam-6211	377	2	17	CARDINAL
ejpam-6211	377	3	23	CARDINAL
ejpam-6211	377	4	1 2	CARDINAL
ejpam-6211	377	5	1 + (−1)n−k)	DATE
ejpam-6211	379	1	2n−k+1	CARDINAL
ejpam-6211	379	2	2n2k−1	CARDINAL
ejpam-6211	379	3	k=0	PERSON
ejpam-6211	379	4	st 1 k	PERSON
ejpam-6211	379	5	1 2n	CARDINAL
ejpam-6211	380	1	1− (−1)n−k	DATE
ejpam-6211	381	1	2 + 2	DATE
ejpam-6211	381	2	2	CARDINAL
ejpam-6211	382	1	n∑ k=1	PERSON
ejpam-6211	383	1	1 k	QUANTITY
ejpam-6211	385	1	2n 2k−1	CARDINAL
ejpam-6211	386	1	1	CARDINAL
ejpam-6211	386	2	1 + (−1)n−k	DATE
ejpam-6211	387	1	2n√	CARDINAL
ejpam-6211	388	1	+4	DATE
ejpam-6211	388	2	5.5	CARDINAL
ejpam-6211	388	3	5.4	CARDINAL
ejpam-6211	389	1	2(1 +	DATE
ejpam-6211	390	1	2	CARDINAL
ejpam-6211	391	1	5.5	CARDINAL
ejpam-6211	392	1	k=0	PERSON
ejpam-6211	393	1	1−	TIME
ejpam-6211	393	2	2 k	QUANTITY
ejpam-6211	395	1	n∑ k=1	PERSON
ejpam-6211	396	1	2 k	QUANTITY
ejpam-6211	396	2	−rt 2	ORG
ejpam-6211	396	3	2	CARDINAL
ejpam-6211	396	4	1	CARDINAL
ejpam-6211	396	5	2k−1	CARDINAL
ejpam-6211	396	6	1	CARDINAL
ejpam-6211	396	7	1 + (−1)n−k	DATE
ejpam-6211	396	8	5.8	CARDINAL
ejpam-6211	396	9	t ≥ 0	DATE
ejpam-6211	397	1	5.8	CARDINAL
ejpam-6211	397	2	4.2	CARDINAL
ejpam-6211	397	3	2τ2	CARDINAL
ejpam-6211	401	1	−rt 2	ORG
ejpam-6211	401	2	2	CARDINAL
ejpam-6211	401	3	1	CARDINAL
ejpam-6211	402	1	1 2	CARDINAL
ejpam-6211	402	2	5.9	CARDINAL
ejpam-6211	402	3	18	CARDINAL
ejpam-6211	402	4	23	CARDINAL
ejpam-6211	402	5	lhs	PERSON
ejpam-6211	402	6	lhs =	PERSON
ejpam-6211	403	1	n=0	DATE
ejpam-6211	403	2	k=0	PERSON
ejpam-6211	403	3	st 2 k	PERSON
ejpam-6211	403	4	1 2n	CARDINAL
ejpam-6211	404	1	1− (−1)n−k	DATE
ejpam-6211	406	1	−rt 2	ORG
ejpam-6211	406	2	2	CARDINAL
ejpam-6211	406	3	1	CARDINAL
ejpam-6211	406	4	√ x2	PERSON
ejpam-6211	407	1	n=0 n∑ k=1	PERSON
ejpam-6211	408	1	2 k	QUANTITY
ejpam-6211	410	1	1 2	CARDINAL
ejpam-6211	410	2	1 + (−1)n−k	DATE
ejpam-6211	411	1	5.9	CARDINAL
ejpam-6211	411	2	k=0	PERSON
ejpam-6211	411	3	st 2 k	PERSON
ejpam-6211	411	4	1 2n	CARDINAL
ejpam-6211	412	1	1− (−1)n−k	DATE
ejpam-6211	413	1	−rt 2	ORG
ejpam-6211	413	2	2	CARDINAL
ejpam-6211	413	3	1	CARDINAL
ejpam-6211	413	4	√ x2	PERSON
ejpam-6211	414	1	n∑ k=1	PERSON
ejpam-6211	415	1	2 k	QUANTITY
ejpam-6211	416	1	1 2	CARDINAL
ejpam-6211	416	2	1 + (−1)n−k	DATE
ejpam-6211	417	1	2n−k+1	CARDINAL
ejpam-6211	417	2	2n2k−1	CARDINAL
ejpam-6211	417	3	k=0	PERSON
ejpam-6211	417	4	st 2 k	PERSON
ejpam-6211	417	5	1 2n	CARDINAL
ejpam-6211	418	1	1− (−1)n−k	DATE
ejpam-6211	419	1	−rt 2	ORG
ejpam-6211	419	2	2	CARDINAL
ejpam-6211	419	3	1	CARDINAL
ejpam-6211	419	4	√ x2	PERSON
ejpam-6211	419	5	n∑ k=1	PERSON
ejpam-6211	420	1	2 k	QUANTITY
ejpam-6211	420	2	1 2	CARDINAL
ejpam-6211	420	3	1 + (−1)n−k)	DATE
ejpam-6211	421	1	2n√	CARDINAL
ejpam-6211	422	1	+4	DATE
ejpam-6211	422	2	5.8	CARDINAL
ejpam-6211	422	3	5.6	CARDINAL
ejpam-6211	425	1	1− (−1)n−k	DATE
ejpam-6211	426	1	19	CARDINAL
ejpam-6211	426	2	23	CARDINAL
ejpam-6211	426	3	n∑ k=1	PERSON
ejpam-6211	427	1	1 k	QUANTITY
ejpam-6211	427	2	2 + 2	DATE
ejpam-6211	427	3	2	CARDINAL
ejpam-6211	427	4	2k−1	CARDINAL
ejpam-6211	427	5	1	CARDINAL
ejpam-6211	427	6	5.10	CARDINAL
ejpam-6211	427	7	1	CARDINAL
ejpam-6211	429	1	1,t	CARDINAL
ejpam-6211	430	1	5.10	CARDINAL
ejpam-6211	430	2	4.1	CARDINAL
ejpam-6211	430	3	5.3),which	DATE
ejpam-6211	430	4	2 √ x2	QUANTITY
ejpam-6211	430	5	1	CARDINAL
ejpam-6211	433	1	2+t 2	CARDINAL
ejpam-6211	433	2	2 +	CARDINAL
ejpam-6211	433	3	lnk(1	ORG
ejpam-6211	434	1	+ 4	DATE
ejpam-6211	434	2	1 2	CARDINAL
ejpam-6211	435	1	1	CARDINAL
ejpam-6211	435	2	1 2	CARDINAL
ejpam-6211	436	1	ϕ(t	PERSON
ejpam-6211	436	2	5.11	CARDINAL
ejpam-6211	436	3	lhs	PERSON
ejpam-6211	436	4	lhs =	PERSON
ejpam-6211	437	1	n=0	DATE
ejpam-6211	437	2	su1 k	LOC
ejpam-6211	437	3	1 2n	CARDINAL
ejpam-6211	438	1	1− (−1)n−k	DATE
ejpam-6211	440	1	n=0 n∑ k=0	PERSON
ejpam-6211	440	2	1 k	QUANTITY
ejpam-6211	441	1	2 + 2	DATE
ejpam-6211	441	2	2	CARDINAL
ejpam-6211	446	1	1 2	CARDINAL
ejpam-6211	446	2	− β(x	GPE
ejpam-6211	447	1	1 2	CARDINAL
ejpam-6211	448	1	5.11	CARDINAL
ejpam-6211	448	2	su1 k	LOC
ejpam-6211	449	1	1 2n	CARDINAL
ejpam-6211	450	1	1− (−1)n−k	DATE
ejpam-6211	451	1	n=0 n∑ k=1	PERSON
ejpam-6211	452	1	1 k	QUANTITY
ejpam-6211	452	2	2 + 2	DATE
ejpam-6211	452	3	2	CARDINAL
ejpam-6211	457	1	1	CARDINAL
ejpam-6211	457	2	20	CARDINAL
ejpam-6211	457	3	23	CARDINAL
ejpam-6211	458	1	2n−k+1	CARDINAL
ejpam-6211	458	2	2n2k−1	CARDINAL
ejpam-6211	459	1	1 2n	CARDINAL
ejpam-6211	460	1	1− (−1)n−k	DATE
ejpam-6211	462	1	n∑ k=1	PERSON
ejpam-6211	463	1	1 k	QUANTITY
ejpam-6211	463	2	2 + 2	DATE
ejpam-6211	463	3	2	CARDINAL
ejpam-6211	467	1	1	CARDINAL
ejpam-6211	468	1	2n√	CARDINAL
ejpam-6211	469	1	+4	DATE
ejpam-6211	469	2	5.10	CARDINAL
ejpam-6211	469	3	5.7	CARDINAL
ejpam-6211	470	1	2(1 +	DATE
ejpam-6211	471	1	2	CARDINAL
ejpam-6211	472	1	5.8	CARDINAL
ejpam-6211	475	1	1− (−1)n−k	DATE
ejpam-6211	477	1	n∑ k=1	PERSON
ejpam-6211	478	1	1 k	QUANTITY
ejpam-6211	478	2	−rt 2	ORG
ejpam-6211	478	3	2	CARDINAL
ejpam-6211	478	4	1	CARDINAL
ejpam-6211	478	5	2k−1	CARDINAL
ejpam-6211	478	6	1	CARDINAL
ejpam-6211	478	7	5.12	CARDINAL
ejpam-6211	478	8	1	CARDINAL
ejpam-6211	481	1	1	CARDINAL
ejpam-6211	482	1	4.2	CARDINAL
ejpam-6211	482	2	2 √ x2	QUANTITY
ejpam-6211	482	3	1	CARDINAL
ejpam-6211	484	1	−rt 2	ORG
ejpam-6211	484	2	2	CARDINAL
ejpam-6211	484	3	1	CARDINAL
ejpam-6211	485	1	1 2	CARDINAL
ejpam-6211	486	1	1	CARDINAL
ejpam-6211	486	2	1 2	CARDINAL
ejpam-6211	487	1	5.13	CARDINAL
ejpam-6211	487	2	21	CARDINAL
ejpam-6211	487	3	23	DATE
ejpam-6211	487	4	lhs =	PERSON
ejpam-6211	488	1	n=0	DATE
ejpam-6211	488	2	k=0	PERSON
ejpam-6211	489	1	1 2n	CARDINAL
ejpam-6211	490	1	1− (−1)n−k	DATE
ejpam-6211	492	1	n=0 n∑ k=0	PERSON
ejpam-6211	492	2	2 k	QUANTITY
ejpam-6211	492	3	−rt 2	ORG
ejpam-6211	492	4	2	CARDINAL
ejpam-6211	492	5	1	CARDINAL
ejpam-6211	495	1	1 2	CARDINAL
ejpam-6211	495	2	− β(x	GPE
ejpam-6211	496	1	1 2	CARDINAL
ejpam-6211	497	1	5.13	CARDINAL
ejpam-6211	497	2	k=0	PERSON
ejpam-6211	497	3	1 2n	CARDINAL
ejpam-6211	498	1	1− (−1)n−k	DATE
ejpam-6211	499	1	n=0 n∑ k=1	PERSON
ejpam-6211	500	1	2 k	QUANTITY
ejpam-6211	500	2	−rt 2	ORG
ejpam-6211	500	3	2	CARDINAL
ejpam-6211	500	4	1	CARDINAL
ejpam-6211	502	1	1	CARDINAL
ejpam-6211	505	1	2n−k+1	CARDINAL
ejpam-6211	505	2	2n2k−1	CARDINAL
ejpam-6211	506	1	1 2n	CARDINAL
ejpam-6211	507	1	1− (−1)n−k	DATE
ejpam-6211	509	1	n∑ k=1	PERSON
ejpam-6211	510	1	1 k	QUANTITY
ejpam-6211	510	2	−rt 2	ORG
ejpam-6211	510	3	2	CARDINAL
ejpam-6211	510	4	1	CARDINAL
ejpam-6211	512	1	1	CARDINAL
ejpam-6211	513	1	2n√	CARDINAL
ejpam-6211	514	1	+4	DATE
ejpam-6211	514	2	5.12	CARDINAL
ejpam-6211	514	3	6	CARDINAL
ejpam-6211	515	1	first	ORDINAL
ejpam-6211	515	2	second	ORDINAL
ejpam-6211	517	1	22	CARDINAL
ejpam-6211	517	2	23	CARDINAL
ejpam-6211	518	1	first	ORDINAL
ejpam-6211	518	2	second	ORDINAL
ejpam-6211	518	3	stirling	GPE
ejpam-6211	530	1	integer partitions	PERSON
ejpam-6211	532	1	legendre	ORG
ejpam-6211	532	2	jacobi	ORG
ejpam-6211	536	1	mathematica	ORG
ejpam-6211	538	1	linear	ORG
ejpam-6211	539	1	23	CARDINAL
ejpam-6211	539	2	23	CARDINAL
ejpam-6211	540	1	1	CARDINAL
ejpam-6211	540	2	j. stirling	PERSON
ejpam-6211	541	1	methodus differentialis	PERSON
ejpam-6211	541	2	tractatus de	ORG
ejpam-6211	541	3	london	GPE
ejpam-6211	541	4	1730	CARDINAL
ejpam-6211	542	1	2	CARDINAL
ejpam-6211	542	2	r. b. corcino	PERSON
ejpam-6211	542	3	c. b. corcino	PERSON
ejpam-6211	544	1	utilitas mathematica	PERSON
ejpam-6211	544	2	89:297–309	CARDINAL
ejpam-6211	544	3	2012	DATE
ejpam-6211	545	1	3	CARDINAL
ejpam-6211	545	2	r. b. corcino	PERSON
ejpam-6211	545	3	c. b. montero	PERSON
ejpam-6211	547	1	isrn discrete mathematics	PERSON
ejpam-6211	547	2	818	CARDINAL
ejpam-6211	547	3	2012	DATE
ejpam-6211	548	1	4	CARDINAL
ejpam-6211	548	2	r. b. corcino	PERSON
ejpam-6211	548	3	c. barrientos	PERSON
ejpam-6211	550	1	malaysian	NORP
ejpam-6211	550	2	34(3):487	CARDINAL
ejpam-6211	550	3	501	CARDINAL
ejpam-6211	550	4	2011	DATE
ejpam-6211	551	1	5	CARDINAL
ejpam-6211	551	2	r. b. corcino	PERSON
ejpam-6211	551	3	l. c. hsu	PERSON
ejpam-6211	551	4	e. l. tan	PERSON
ejpam-6211	553	1	quarterly	DATE
ejpam-6211	553	2	44(2):154–165, 2006	DATE
ejpam-6211	554	1	6	CARDINAL
ejpam-6211	554	2	r. b. corcino	PERSON
ejpam-6211	554	3	c. b. corcino	PERSON
ejpam-6211	556	1	matimyas matematika	PERSON
ejpam-6211	556	2	24(1):9–18, 2001	DATE
ejpam-6211	557	1	7	CARDINAL
ejpam-6211	557	2	i. mező	PERSON
ejpam-6211	557	3	r. b. corcino	PERSON
ejpam-6211	558	1	zeros	CARDINAL
ejpam-6211	559	1	250:727–732	CARDINAL
ejpam-6211	559	2	2015	DATE
ejpam-6211	560	1	8	CARDINAL
ejpam-6211	560	2	a. z. broder	PERSON
ejpam-6211	562	1	49(3):241–259	CARDINAL
ejpam-6211	562	2	1984	DATE
ejpam-6211	563	1	9	CARDINAL
ejpam-6211	563	2	dechosa	GPE
ejpam-6211	563	3	r. coronel	PERSON
ejpam-6211	563	4	m. deveraturda	PERSON
ejpam-6211	565	1	cnu-journal	ORG
ejpam-6211	565	2	17:1–14	CARDINAL
ejpam-6211	565	3	2023	CARDINAL
ejpam-6211	566	1	10	CARDINAL
ejpam-6211	566	2	l. sigler	PERSON
ejpam-6211	567	1	fibonacci	ORG
ejpam-6211	567	2	english	LANGUAGE
ejpam-6211	567	3	leonardo pisano’s	PERSON
ejpam-6211	568	1	new york	GPE
ejpam-6211	568	2	2002	DATE
ejpam-6211	569	1	11	CARDINAL
ejpam-6211	569	2	c. a. church	PERSON
ejpam-6211	569	3	m. bicknell	PERSON
ejpam-6211	571	1	quarterly	DATE
ejpam-6211	571	2	11(3):275–281, 1973	DATE
ejpam-6211	572	1	12	CARDINAL
ejpam-6211	572	2	w. ramirez	PERSON
ejpam-6211	572	3	s. khan	PERSON
ejpam-6211	574	1	15(1):1–10	CARDINAL
ejpam-6211	574	2	2022	CARDINAL
ejpam-6211	575	1	13	CARDINAL
ejpam-6211	575	2	w. ramirez	PERSON
ejpam-6211	575	3	c. cesarano	PERSON
ejpam-6211	576	1	generalized apostolbernoulli	PERSON
ejpam-6211	576	2	apostol-euler	PERSON
ejpam-6211	577	1	carpathian	NORP
ejpam-6211	577	2	14(2):354–363	CARDINAL
ejpam-6211	577	3	2022	CARDINAL
ejpam-6211	578	1	14	CARDINAL
ejpam-6211	578	2	w. ramirez	PERSON
ejpam-6211	578	3	c. cesarano	PERSON
ejpam-6211	578	4	s. diaz	PERSON
ejpam-6211	579	1	apostol-euler	PERSON
ejpam-6211	580	1	21:604–608	CARDINAL
ejpam-6211	580	2	2022	CARDINAL
ejpam-6211	581	1	15	CARDINAL
ejpam-6211	581	2	r. b. corcino	PERSON
ejpam-6211	581	3	m. b. montero	PERSON
ejpam-6211	581	4	s. l. ballenas	PERSON
ejpam-6211	582	1	first	ORDINAL
ejpam-6211	583	1	european	NORP
ejpam-6211	583	2	2024	DATE