id	sid	eid	entity	type
ejpam-3406	1	1	european journal	ORG
ejpam-3406	2	1	12	CARDINAL
ejpam-3406	2	2	2	CARDINAL
ejpam-3406	2	3	2019	DATE
ejpam-3406	2	4	279	CARDINAL
ejpam-3406	2	5	293	CARDINAL
ejpam-3406	2	6	new york	GPE
ejpam-3406	2	7	roberto b. corcino1	PERSON
ejpam-3406	2	8	mary joy r. latayada2,∗	PERSON
ejpam-3406	3	1	mary ann	PERSON
ejpam-3406	3	2	vega3 1	ORG
ejpam-3406	3	3	6000	CARDINAL
ejpam-3406	3	4	cebu city	GPE
ejpam-3406	3	5	philippines 2 department	ORG
ejpam-3406	3	6	caraga state university	ORG
ejpam-3406	3	7	8600	CARDINAL
ejpam-3406	3	8	butuan city	GPE
ejpam-3406	3	9	philippines 3 department	ORG
ejpam-3406	3	10	mindanao state university-iligan institute of technology	ORG
ejpam-3406	3	11	9200	CARDINAL
ejpam-3406	3	12	iligan city	GPE
ejpam-3406	3	13	philippines	GPE
ejpam-3406	4	1	second	ORDINAL
ejpam-3406	4	2	cañete	PERSON
ejpam-3406	4	3	atableaux	PERSON
ejpam-3406	5	1	atableaux	GPE
ejpam-3406	7	1	dowling numbers	PERSON
ejpam-3406	8	1	1	CARDINAL
ejpam-3406	8	2	n∑ k=0	PERSON
ejpam-3406	11	1	16	CARDINAL
ejpam-3406	12	1	n∑ k=0	PERSON
ejpam-3406	12	2	n k ) ak	ORG
ejpam-3406	14	1	∗corresponding	PERSON
ejpam-3406	15	1	r. corcino	PERSON
ejpam-3406	15	2	latayada	PERSON
ejpam-3406	15	3	vega	PERSON
ejpam-3406	16	1	279	CARDINAL
ejpam-3406	16	2	2019	CARDINAL
ejpam-3406	17	1	r. corcino	PERSON
ejpam-3406	17	2	latayada	ORG
ejpam-3406	17	3	mar. vega / eur	PERSON
ejpam-3406	18	1	j. pure	PERSON
ejpam-3406	18	2	12	CARDINAL
ejpam-3406	18	3	2	CARDINAL
ejpam-3406	18	4	2019	DATE
ejpam-3406	18	5	279	CARDINAL
ejpam-3406	18	6	293 280	CARDINAL
ejpam-3406	18	7	a1	PRODUCT
ejpam-3406	22	1	h(a	ORG
ejpam-3406	22	2	1	CARDINAL
ejpam-3406	22	3	2n n	QUANTITY
ejpam-3406	22	4	h(c	GPE
ejpam-3406	22	5	1	CARDINAL
ejpam-3406	22	6	1	DATE
ejpam-3406	22	7	1	CARDINAL
ejpam-3406	23	1	two	CARDINAL
ejpam-3406	24	1	f2n+1}∞n=0	DATE
ejpam-3406	24	2	12	CARDINAL
ejpam-3406	25	1	one	CARDINAL
ejpam-3406	25	2	12	CARDINAL
ejpam-3406	30	1	1	CARDINAL
ejpam-3406	30	2	14	CARDINAL
ejpam-3406	31	1	r. corcino	PERSON
ejpam-3406	31	2	c. corcino	PERSON
ejpam-3406	33	1	gn	PERSON
ejpam-3406	33	2	n∑ k=0	PERSON
ejpam-3406	33	3	5	CARDINAL
ejpam-3406	33	4	β)-bell	ORG
ejpam-3406	34	1	β)-bell	ORG
ejpam-3406	36	1	k=0	PERSON
ejpam-3406	36	2	k)[β]kq	PERSON
ejpam-3406	37	1	k]qβ	PERSON
ejpam-3406	38	1	1	CARDINAL
ejpam-3406	38	2	k.	PERSON
ejpam-3406	39	1	r. corcino	PERSON
ejpam-3406	39	2	r. corcino	PERSON
ejpam-3406	39	3	latayada	ORG
ejpam-3406	39	4	mar. vega / eur	PERSON
ejpam-3406	40	1	j. pure	PERSON
ejpam-3406	40	2	12	CARDINAL
ejpam-3406	40	3	2	CARDINAL
ejpam-3406	40	4	2019	DATE
ejpam-3406	40	5	279	CARDINAL
ejpam-3406	40	6	293 281	CARDINAL
ejpam-3406	41	1	gn	ORG
ejpam-3406	42	1	second	ORDINAL
ejpam-3406	43	1	n∑ k=0	PERSON
ejpam-3406	45	1	3	CARDINAL
ejpam-3406	46	1	2	CARDINAL
ejpam-3406	46	2	wm	GPE
ejpam-3406	46	3	second	ORDINAL
ejpam-3406	46	4	2	CARDINAL
ejpam-3406	47	1	second	ORDINAL
ejpam-3406	47	2	second	ORDINAL
ejpam-3406	47	3	sq[n	GPE
ejpam-3406	48	1	1	CARDINAL
ejpam-3406	48	2	1	CARDINAL
ejpam-3406	48	3	2	CARDINAL
ejpam-3406	48	4	abelian	NORP
ejpam-3406	48	5	1	CARDINAL
ejpam-3406	48	6	second	ORDINAL
ejpam-3406	48	7	s(n	ORG
ejpam-3406	48	8	1	CARDINAL
ejpam-3406	48	9	1	CARDINAL
ejpam-3406	50	1	3	CARDINAL
ejpam-3406	50	2	second	ORDINAL
ejpam-3406	50	3	10	CARDINAL
ejpam-3406	50	4	sq[n	GPE
ejpam-3406	50	5	qk−1sq[n− 1	DATE
ejpam-3406	51	1	1	CARDINAL
ejpam-3406	53	1	4	CARDINAL
ejpam-3406	54	1	second	ORDINAL
ejpam-3406	54	2	cañete	PERSON
ejpam-3406	54	3	6	CARDINAL
ejpam-3406	54	4	noncentral stirling	PERSON
ejpam-3406	54	5	second	ORDINAL
ejpam-3406	54	6	1	CARDINAL
ejpam-3406	55	1	wm	PERSON
ejpam-3406	56	1	1	CARDINAL
ejpam-3406	58	1	+ r]qwm	DATE
ejpam-3406	58	2	1	CARDINAL
ejpam-3406	59	1	5	CARDINAL
ejpam-3406	59	2	wm	PERSON
ejpam-3406	59	3	0]q	CARDINAL
ejpam-3406	60	1	1	CARDINAL
ejpam-3406	60	2	wm	GPE
ejpam-3406	65	1	1	CARDINAL
ejpam-3406	66	1	1	CARDINAL
ejpam-3406	66	2	5	CARDINAL
ejpam-3406	66	3	4	CARDINAL
ejpam-3406	68	1	6	CARDINAL
ejpam-3406	68	2	r. corcino	PERSON
ejpam-3406	68	3	latayada	ORG
ejpam-3406	68	4	mar. vega / eur	PERSON
ejpam-3406	69	1	j. pure	PERSON
ejpam-3406	69	2	12	CARDINAL
ejpam-3406	69	3	2	CARDINAL
ejpam-3406	69	4	2019	DATE
ejpam-3406	69	5	279	CARDINAL
ejpam-3406	69	6	wm	PERSON
ejpam-3406	69	7	1	CARDINAL
ejpam-3406	72	1	wm	PERSON
ejpam-3406	72	2	7	CARDINAL
ejpam-3406	72	3	wm	GPE
ejpam-3406	72	4	1	CARDINAL
ejpam-3406	72	5	k + j	ORG
ejpam-3406	73	1	8)	CARDINAL
ejpam-3406	76	1	9	CARDINAL
ejpam-3406	76	2	wm	GPE
ejpam-3406	79	1	[ k j ] qm	PERSON
ejpam-3406	80	1	10	CARDINAL
ejpam-3406	80	2	1	CARDINAL
ejpam-3406	82	1	[m]kq [ ∆k qm	PERSON
ejpam-3406	82	2	r]nq	PERSON
ejpam-3406	83	1	11	CARDINAL
ejpam-3406	83	2	wm	PERSON
ejpam-3406	85	1	1	CARDINAL
ejpam-3406	86	1	∆qm	ORG
ejpam-3406	88	1	12	CARDINAL
ejpam-3406	90	1	wm	PERSON
ejpam-3406	93	1	r. corcino	PERSON
ejpam-3406	93	2	latayada	ORG
ejpam-3406	93	3	mar. vega / eur	PERSON
ejpam-3406	94	1	j. pure	PERSON
ejpam-3406	94	2	12	CARDINAL
ejpam-3406	94	3	2	CARDINAL
ejpam-3406	94	4	2019	DATE
ejpam-3406	94	5	279	CARDINAL
ejpam-3406	94	6	second	ORDINAL
ejpam-3406	94	7	w	GPE
ejpam-3406	95	1	w	GPE
ejpam-3406	95	2	≤jn−k≤k	PERSON
ejpam-3406	97	1	13	CARDINAL
ejpam-3406	97	2	wm	GPE
ejpam-3406	98	1	2	CARDINAL
ejpam-3406	99	1	13	CARDINAL
ejpam-3406	99	2	φ	PERSON
ejpam-3406	100	1	nonnegative integers n	ORG
ejpam-3406	100	2	φ	ORG
ejpam-3406	102	1	φ	ORG
ejpam-3406	102	2	zero	CARDINAL
ejpam-3406	102	3	0	CARDINAL
ejpam-3406	102	4	1	DATE
ejpam-3406	102	5	2	CARDINAL
ejpam-3406	104	1	0	CARDINAL
ejpam-3406	104	2	1	DATE
ejpam-3406	104	3	2	CARDINAL
ejpam-3406	107	1	1	CARDINAL
ejpam-3406	110	1	w	GPE
ejpam-3406	110	2	φ∈tar	DATE
ejpam-3406	112	1	φ ∈	PERSON
ejpam-3406	113	1	φ	ORG
ejpam-3406	114	1	c1	PERSON
ejpam-3406	114	2	cn−k	ORG
ejpam-3406	114	3	j1	ORG
ejpam-3406	114	4	j2	ORG
ejpam-3406	114	5	jn−k	PERSON
ejpam-3406	115	1	ci ∈ φ	PERSON
ejpam-3406	115	2	1	CARDINAL
ejpam-3406	115	3	2	DATE
ejpam-3406	115	4	3	DATE
ejpam-3406	115	5	n− k	PERSON
ejpam-3406	118	1	r. corcino	PERSON
ejpam-3406	118	2	latayada	ORG
ejpam-3406	118	3	mar. vega / eur	PERSON
ejpam-3406	119	1	j. pure	PERSON
ejpam-3406	119	2	12	CARDINAL
ejpam-3406	119	3	2	CARDINAL
ejpam-3406	119	4	2019	DATE
ejpam-3406	119	5	279	CARDINAL
ejpam-3406	119	6	i=1 ω(|ci|	GPE
ejpam-3406	122	1	φ ∈	PERSON
ejpam-3406	123	1	≤jn−k≤k	PERSON
ejpam-3406	126	1	13	CARDINAL
ejpam-3406	126	2	≤jn−k≤k	PERSON
ejpam-3406	130	1	φ ∈	CARDINAL
ejpam-3406	130	2	0	CARDINAL
ejpam-3406	130	3	1	DATE
ejpam-3406	130	4	2	CARDINAL
ejpam-3406	132	1	φ	ORG
ejpam-3406	132	2	∈ φ	ORG
ejpam-3406	132	3	1 qr2	CARDINAL
ejpam-3406	133	1	14	CARDINAL
ejpam-3406	135	1	wm	GPE
ejpam-3406	136	1	1	CARDINAL
ejpam-3406	136	2	w	GPE
ejpam-3406	136	3	φ∈tar	DATE
ejpam-3406	136	4	φ∈tar	DATE
ejpam-3406	136	5	0	CARDINAL
ejpam-3406	136	6	1	CARDINAL
ejpam-3406	138	1	0	CARDINAL
ejpam-3406	138	2	1	CARDINAL
ejpam-3406	139	1	r. corcino	PERSON
ejpam-3406	139	2	latayada	ORG
ejpam-3406	139	3	mar. vega / eur	PERSON
ejpam-3406	140	1	j. pure	PERSON
ejpam-3406	140	2	12	CARDINAL
ejpam-3406	140	3	2	CARDINAL
ejpam-3406	140	4	2019	DATE
ejpam-3406	140	5	279	CARDINAL
ejpam-3406	140	6	14	CARDINAL
ejpam-3406	140	7	1 qr2	CARDINAL
ejpam-3406	146	1	∑	PERSON
ejpam-3406	146	2	i=1 ω∗(ji	GPE
ejpam-3406	147	1	φ	ORG
ejpam-3406	147	2	one	CARDINAL
ejpam-3406	147	3	two	CARDINAL
ejpam-3406	151	1	c∈ψ	NORP
ejpam-3406	151	2	q−(n−k)r2([r2]q	PERSON
ejpam-3406	156	1	j1	ORG
ejpam-3406	156	2	j2	ORG
ejpam-3406	158	1	k l	ORG
ejpam-3406	160	1	k, n− k)| =	ORG
ejpam-3406	162	1	n n− k	ORG
ejpam-3406	164	1	∈	PRODUCT
ejpam-3406	164	2	k l	ORG
ejpam-3406	164	3	r. corcino	PERSON
ejpam-3406	164	4	latayada	ORG
ejpam-3406	164	5	mar. vega / eur	PERSON
ejpam-3406	165	1	j. pure	PERSON
ejpam-3406	165	2	12	CARDINAL
ejpam-3406	165	3	2	CARDINAL
ejpam-3406	165	4	2019	DATE
ejpam-3406	165	5	279	CARDINAL
ejpam-3406	165	6	286	PRODUCT
ejpam-3406	168	1	∑	PERSON
ejpam-3406	168	2	∏	CARDINAL
ejpam-3406	168	3	b̄l	PERSON
ejpam-3406	172	1	q−nr2([r2]q	PERSON
ejpam-3406	173	1	1	CARDINAL
ejpam-3406	173	2	2	DATE
ejpam-3406	174	1	j − k.	PERSON
ejpam-3406	174	2	b̄j−k =	GPE
ejpam-3406	174	3	j − k	PERSON
ejpam-3406	175	1	∑	PERSON
ejpam-3406	176	1	q−nr2([r2]q	PERSON
ejpam-3406	176	2	ωa(ϕ	CARDINAL
ejpam-3406	177	1	1	CARDINAL
ejpam-3406	177	2	2	CARDINAL
ejpam-3406	184	1	0	CARDINAL
ejpam-3406	184	2	1	CARDINAL
ejpam-3406	186	1	k − j	ORG
ejpam-3406	186	2	1	CARDINAL
ejpam-3406	186	3	2	CARDINAL
ejpam-3406	187	1	j + 1	LAW
ejpam-3406	187	2	∈	ORG
ejpam-3406	187	3	φ2 ∈ ta2(j	ORG
ejpam-3406	187	4	r. corcino	PERSON
ejpam-3406	187	5	latayada	ORG
ejpam-3406	187	6	mar. vega / eur	PERSON
ejpam-3406	188	1	j. pure	PERSON
ejpam-3406	188	2	12	CARDINAL
ejpam-3406	188	3	2	CARDINAL
ejpam-3406	188	4	2019	DATE
ejpam-3406	188	5	279	CARDINAL
ejpam-3406	188	6	0	CARDINAL
ejpam-3406	188	7	1	CARDINAL
ejpam-3406	190	1	1	CARDINAL
ejpam-3406	190	2	2	CARDINAL
ejpam-3406	192	1	j + 1	PERSON
ejpam-3406	193	1	φ2	GPE
ejpam-3406	193	2	n− s− j	ORG
ejpam-3406	193	3	0	CARDINAL
ejpam-3406	193	4	1	CARDINAL
ejpam-3406	194	1	1	CARDINAL
ejpam-3406	195	1	φ ∈	PERSON
ejpam-3406	195	2	j+ 1	DATE
ejpam-3406	195	3	n− s− j	ORG
ejpam-3406	196	1	∑ φ∈ta(s+j+1,n−s−j	PERSON
ejpam-3406	196	2	∑	PERSON
ejpam-3406	196	3	k−s	PERSON
ejpam-3406	197	1	ωa2(φ2	GPE
ejpam-3406	198	1	∑ φ2∈ta2	ORG
ejpam-3406	198	2	∏	CARDINAL
ejpam-3406	200	1	mgi	ORG
ejpam-3406	200	2	0≤g1≤	CARDINAL
ejpam-3406	203	1	mgi	ORG
ejpam-3406	203	2	1	CARDINAL
ejpam-3406	205	1	mgi	ORG
ejpam-3406	207	1	mgi	ORG
ejpam-3406	208	1	mgi	ORG
ejpam-3406	208	2	1	CARDINAL
ejpam-3406	209	1	13	CARDINAL
ejpam-3406	210	1	3	CARDINAL
ejpam-3406	211	1	1	CARDINAL
ejpam-3406	211	2	j + 1]q	PERSON
ejpam-3406	212	1	n∑ k=0	PERSON
ejpam-3406	212	2	w ∗m	GPE
ejpam-3406	214	1	4	CARDINAL
ejpam-3406	215	1	second	ORDINAL
ejpam-3406	215	2	w	GPE
ejpam-3406	215	3	r[s	ORG
ejpam-3406	216	1	r. corcino	PERSON
ejpam-3406	216	2	latayada	ORG
ejpam-3406	216	3	mar. vega / eur	PERSON
ejpam-3406	217	1	j. pure	PERSON
ejpam-3406	217	2	12	CARDINAL
ejpam-3406	217	3	2	CARDINAL
ejpam-3406	217	4	2019	DATE
ejpam-3406	217	5	279	CARDINAL
ejpam-3406	217	6	293	CARDINAL
ejpam-3406	217	7	288	PRODUCT
ejpam-3406	218	1	0	CARDINAL
ejpam-3406	218	2	1	CARDINAL
ejpam-3406	220	1	k}	PERSON
ejpam-3406	222	1	{k	PERSON
ejpam-3406	223	1	∈	ORG
ejpam-3406	223	2	s− k	PERSON
ejpam-3406	223	3	φ2 ∈ ta2(n−	GPE
ejpam-3406	224	1	j−n+ k	PERSON
ejpam-3406	226	1	3	CARDINAL
ejpam-3406	228	1	n∑ k=0	PERSON
ejpam-3406	230	1	2	CARDINAL
ejpam-3406	231	1	1	CARDINAL
ejpam-3406	231	2	6	CARDINAL
ejpam-3406	232	1	15	CARDINAL
ejpam-3406	232	2	n[1	GPE
ejpam-3406	232	3	16	CARDINAL
ejpam-3406	232	4	n[z	ORG
ejpam-3406	232	5	11	CARDINAL
ejpam-3406	232	6	n[z	ORG
ejpam-3406	233	1	17	CARDINAL
ejpam-3406	233	2	3	CARDINAL
ejpam-3406	234	1	n[z	ORG
ejpam-3406	234	2	n(z	GPE
ejpam-3406	238	1	2	CARDINAL
ejpam-3406	239	1	ēq	GPE
ejpam-3406	239	2	n[z	ORG
ejpam-3406	239	3	18	CARDINAL
ejpam-3406	239	4	n[z	ORG
ejpam-3406	240	1	r. corcino	PERSON
ejpam-3406	240	2	latayada	ORG
ejpam-3406	240	3	mar. vega / eur	PERSON
ejpam-3406	241	1	j. pure	PERSON
ejpam-3406	241	2	12	CARDINAL
ejpam-3406	241	3	2	CARDINAL
ejpam-3406	241	4	2019	DATE
ejpam-3406	241	5	279	CARDINAL
ejpam-3406	241	6	4	CARDINAL
ejpam-3406	246	1	[ k j ] qm	PERSON
ejpam-3406	248	1	w̃m,0[n	ORG
ejpam-3406	248	2	k]q = q−m(k2)wm,0[n	PERSON
ejpam-3406	251	1	n∑ k=0	PERSON
ejpam-3406	251	2	k=0 s̃qm	PERSON
ejpam-3406	252	1	19	CARDINAL
ejpam-3406	252	2	3	CARDINAL
ejpam-3406	253	1	n([m]q	CARDINAL
ejpam-3406	254	1	3	CARDINAL
ejpam-3406	256	1	1]qm	CARDINAL
ejpam-3406	257	1	n]qm	ORG
ejpam-3406	258	1	2	CARDINAL
ejpam-3406	258	2	20	CARDINAL
ejpam-3406	259	1	2	CARDINAL
ejpam-3406	259	2	1	CARDINAL
ejpam-3406	261	1	21	CARDINAL
ejpam-3406	261	2	21	CARDINAL
ejpam-3406	264	1	k]q = n∑ j=0	PERSON
ejpam-3406	264	2	j∑ k=0	PERSON
ejpam-3406	264	3	−1)n−j ( n j ) q−nw̃m	ORG
ejpam-3406	264	4	k]q = n∑ j=0	PERSON
ejpam-3406	264	5	−1)n−j ( n j	ORG
ejpam-3406	264	6	j∑ k=0	PERSON
ejpam-3406	264	7	k]q = n∑ j=0	PERSON
ejpam-3406	264	8	−1)n−j ( n j	ORG
ejpam-3406	264	9	r−1[j]q	PERSON
ejpam-3406	266	1	5	CARDINAL
ejpam-3406	267	1	qnd̃m	PERSON
ejpam-3406	267	2	r[n]q = n∑ j=0	PERSON
ejpam-3406	267	3	−1)n−j ( n j	ORG
ejpam-3406	267	4	r−1[j]q	PERSON
ejpam-3406	268	1	22	CARDINAL
ejpam-3406	268	2	r. corcino	PERSON
ejpam-3406	268	3	latayada	ORG
ejpam-3406	268	4	mar. vega / eur	PERSON
ejpam-3406	269	1	j. pure	PERSON
ejpam-3406	269	2	12	CARDINAL
ejpam-3406	269	3	2	CARDINAL
ejpam-3406	269	4	2019	DATE
ejpam-3406	269	5	279	CARDINAL
ejpam-3406	269	6	5	CARDINAL
ejpam-3406	270	1	4	CARDINAL
ejpam-3406	270	2	15	CARDINAL
ejpam-3406	271	1	1	CARDINAL
ejpam-3406	273	1	23	CARDINAL
ejpam-3406	273	2	steil	ORG
ejpam-3406	274	1	17	CARDINAL
ejpam-3406	275	1	3	CARDINAL
ejpam-3406	276	1	spivey-steil	ORG
ejpam-3406	277	1	17	CARDINAL
ejpam-3406	277	2	0	CARDINAL
ejpam-3406	278	1	24	CARDINAL
ejpam-3406	278	2	r(a	PERSON
ejpam-3406	278	3	r(a	PERSON
ejpam-3406	279	1	steil	ORG
ejpam-3406	280	1	6	CARDINAL
ejpam-3406	281	1	spivey-steil	ORG
ejpam-3406	282	1	17	CARDINAL
ejpam-3406	282	2	a1	PRODUCT
ejpam-3406	287	1	a0	ORG
ejpam-3406	287	2	0	DATE
ejpam-3406	287	3	0	DATE
ejpam-3406	290	1	kn(n+1)hn	GPE
ejpam-3406	292	1	7	CARDINAL
ejpam-3406	294	1	3	CARDINAL
ejpam-3406	295	1	1]qm	CARDINAL
ejpam-3406	296	1	n]qm	ORG
ejpam-3406	297	1	2	CARDINAL
ejpam-3406	298	1	25	CARDINAL
ejpam-3406	299	1	18	CARDINAL
ejpam-3406	299	2	4	CARDINAL
ejpam-3406	300	1	3	CARDINAL
ejpam-3406	302	1	1]qm	CARDINAL
ejpam-3406	303	1	n]qm	ORG
ejpam-3406	304	1	2	CARDINAL
ejpam-3406	305	1	26	CARDINAL
ejpam-3406	305	2	1	CARDINAL
ejpam-3406	305	3	r−1[n]q	NORP
ejpam-3406	305	4	qnd̃m	PERSON
ejpam-3406	306	1	r−1[n]q	NORP
ejpam-3406	307	1	12	CARDINAL
ejpam-3406	309	1	r. corcino	PERSON
ejpam-3406	309	2	latayada	ORG
ejpam-3406	309	3	mar. vega / eur	PERSON
ejpam-3406	310	1	j. pure	PERSON
ejpam-3406	310	2	12	CARDINAL
ejpam-3406	310	3	2	CARDINAL
ejpam-3406	310	4	2019	DATE
ejpam-3406	310	5	279	CARDINAL
ejpam-3406	310	6	r−1[n]q	NORP
ejpam-3406	312	1	1	CARDINAL
ejpam-3406	312	2	r−1[n]q	NORP
ejpam-3406	313	1	spivey-steil	ORG
ejpam-3406	313	2	r−1[n]q	NORP
ejpam-3406	313	3	r−1[n]q	NORP
ejpam-3406	314	1	qn(n+1)h(d̃m	PERSON
ejpam-3406	315	1	1	CARDINAL
ejpam-3406	315	2	26	CARDINAL
ejpam-3406	317	1	3	CARDINAL
ejpam-3406	319	1	1]qm	CARDINAL
ejpam-3406	320	1	n]qm	ORG
ejpam-3406	321	1	2	CARDINAL
ejpam-3406	322	1	3	CARDINAL
ejpam-3406	323	1	1]qm	CARDINAL
ejpam-3406	324	1	n]qm	ORG
ejpam-3406	325	1	2	CARDINAL
ejpam-3406	326	1	2	CARDINAL
ejpam-3406	326	2	3	CARDINAL
ejpam-3406	327	1	1]qm	CARDINAL
ejpam-3406	328	1	n]qm	ORG
ejpam-3406	329	1	2	CARDINAL
ejpam-3406	331	1	3	CARDINAL
ejpam-3406	332	1	1]qm	CARDINAL
ejpam-3406	333	1	n]qm	ORG
ejpam-3406	334	1	2	CARDINAL
ejpam-3406	334	2	5	CARDINAL
ejpam-3406	335	1	1	CARDINAL
ejpam-3406	335	2	25	CARDINAL
ejpam-3406	338	1	9	CARDINAL
ejpam-3406	339	1	6	CARDINAL
ejpam-3406	340	1	1	CARDINAL
ejpam-3406	340	2	25	CARDINAL
ejpam-3406	342	1	2	CARDINAL
ejpam-3406	342	2	9	CARDINAL
ejpam-3406	343	1	7	CARDINAL
ejpam-3406	344	1	25	CARDINAL
ejpam-3406	345	1	3	CARDINAL
ejpam-3406	346	1	q−2rk[m]kq	CARDINAL
ejpam-3406	349	1	3	CARDINAL
ejpam-3406	349	2	k=0	PERSON
ejpam-3406	350	1	1	CARDINAL
ejpam-3406	350	2	k=0	PERSON
ejpam-3406	350	3	3	CARDINAL
ejpam-3406	351	1	292	CARDINAL
ejpam-3406	351	2	first	ORDINAL
ejpam-3406	352	1	second	ORDINAL
ejpam-3406	352	2	ph.d	NORP
ejpam-3406	353	1	msu iligan institute of technology	ORG
ejpam-3406	354	1	two	CARDINAL
ejpam-3406	356	1	1	CARDINAL
ejpam-3406	356	2	m.	PERSON
ejpam-3406	357	1	205	CARDINAL
ejpam-3406	357	2	1999	DATE
ejpam-3406	357	3	207	CARDINAL
ejpam-3406	358	1	2	CARDINAL
ejpam-3406	358	2	l.	PERSON
ejpam-3406	360	1	j. 15 (	PERSON
ejpam-3406	360	2	987	CARDINAL
ejpam-3406	361	1	3	CARDINAL
ejpam-3406	361	2	g.s.	GPE
ejpam-3406	361	3	jung	GPE
ejpam-3406	361	4	j.h.	GPE
ejpam-3406	361	5	dowling lattices	ORG
ejpam-3406	362	1	312(2012	CARDINAL
ejpam-3406	362	2	2337–2348	CARDINAL
ejpam-3406	363	1	4	CARDINAL
ejpam-3406	363	2	dordrecht	ORG
ejpam-3406	363	3	netherlands	GPE
ejpam-3406	363	4	1974	DATE
ejpam-3406	364	1	5	CARDINAL
ejpam-3406	364	2	r.b.	GPE
ejpam-3406	365	1	mindanao	GPE
ejpam-3406	366	1	1999	DATE
ejpam-3406	367	1	6	CARDINAL
ejpam-3406	367	2	r.b.	GPE
ejpam-3406	367	3	cañete	PERSON
ejpam-3406	367	4	j.t.	GPE
ejpam-3406	367	5	second	ORDINAL
ejpam-3406	368	1	7	CARDINAL
ejpam-3406	368	2	r.b.	GPE
ejpam-3406	368	3	corcino	GPE
ejpam-3406	368	4	c.b.	GPE
ejpam-3406	368	5	mathematica	PERSON
ejpam-3406	368	6	89	DATE
ejpam-3406	368	7	2012	DATE
ejpam-3406	368	8	297	CARDINAL
ejpam-3406	369	1	8	CARDINAL
ejpam-3406	369	2	r.b.	GPE
ejpam-3406	369	3	corcino	GPE
ejpam-3406	369	4	c.b.	GPE
ejpam-3406	369	5	r.	NORP
ejpam-3406	369	6	81	CARDINAL
ejpam-3406	369	7	2006	DATE
ejpam-3406	369	8	81-96	DATE
ejpam-3406	370	1	9	CARDINAL
ejpam-3406	370	2	corcino	NORP
ejpam-3406	370	3	c.b.	GPE
ejpam-3406	370	4	corcino	GPE
ejpam-3406	370	5	r.b.	GPE
ejpam-3406	370	6	ontolan	GPE
ejpam-3406	370	7	j.m.	GPE
ejpam-3406	370	8	perez-fernandez	PERSON
ejpam-3406	370	9	c.m.	GPE
ejpam-3406	370	10	e.r.	GPE
ejpam-3406	370	11	2015	CARDINAL
ejpam-3406	370	12	article id 417327	LAW
ejpam-3406	370	13	10	CARDINAL
ejpam-3406	371	1	10	CARDINAL
ejpam-3406	371	2	r.	NORP
ejpam-3406	371	3	amer	PERSON
ejpam-3406	372	1	monthly	DATE
ejpam-3406	372	2	557	CARDINAL
ejpam-3406	373	1	11	CARDINAL
ejpam-3406	373	2	r.	NORP
ejpam-3406	373	3	31(2003	CARDINAL
ejpam-3406	373	4	630	CARDINAL
ejpam-3406	374	1	12	CARDINAL
ejpam-3406	374	2	j.w.	GPE
ejpam-3406	374	3	integer	ORG
ejpam-3406	374	4	4	CARDINAL
ejpam-3406	374	5	article 01.1.5	LAW
ejpam-3406	375	1	293	CARDINAL
ejpam-3406	375	2	13	CARDINAL
ejpam-3406	375	3	a. de	PERSON
ejpam-3406	375	4	leroux	ORG
ejpam-3406	375	5	generalized stirling numbers	PERSON
ejpam-3406	376	1	j.	PERSON
ejpam-3406	376	2	1995	DATE
ejpam-3406	376	3	474-499	CARDINAL
ejpam-3406	377	1	14	CARDINAL
ejpam-3406	377	2	i.	PERSON
ejpam-3406	377	3	integer	ORG
ejpam-3406	377	4	14 (2011	DATE
ejpam-3406	377	5	article 11.1.1	LAW
ejpam-3406	378	1	15	CARDINAL
ejpam-3406	378	2	j.	PERSON
ejpam-3406	378	3	wiley	ORG
ejpam-3406	378	4	new york	GPE
ejpam-3406	378	5	1968	DATE
ejpam-3406	378	6	16	CARDINAL
ejpam-3406	378	7	n. j. a.	PERSON
ejpam-3406	378	8	s.	PERSON
ejpam-3406	378	9	san diego	GPE
ejpam-3406	378	10	1995	DATE
ejpam-3406	379	1	17	CARDINAL
ejpam-3406	379	2	m.z.	GPE
ejpam-3406	379	3	steil	ORG
ejpam-3406	379	4	l. l.	PERSON