A202339 - cp's OEIS frontend

A202339 Triangle of numerators of coefficients of the polynomial Q_m(n) defined by the recursion Q_0(n)=1; for m >= 1, Q_m(n) = Sum_{i=1..n} iQ_(m-1)(i). For m >= 1, the denominator for all 2m+1 terms of the m-th row is A053657(m+1).

n	a(n)
0	1
1	1
2	1
3	0
4	3
5	10
6	9
7	2
8	0
9	1
10	7
11	17
12	17
13	6
14	0
15	0
16	15
17	180
18	830
19	1848
20	2015
21	900
22	20
23	0
24	-48
25	3
26	55
27	410
28	1598
29	3467
30	4055
31	2120
32	52
33	-240
34	0
35	0
36	63
37	1638
38	17955
39	107954
40	387009
41	837426
42	1038681
43	606606
44	9828
45	-113624
46	-2016
47	11520
48	0
49	9
50	315
51	4767
52	40859
53	217973
54	747021
55	1628877
56	2122953
57	1344798
58	-5516
59	-374024
60	-2592
61	80640
62	0
63	0

[1, 1, 1, 0, 3, 10, 9, 2, 0, 1, 7, 17, 17, 6, 0, 0, 15, 180, 830, 1848, 2015, 900, 20, 0, -48, 3, 55, 410, 1598, 3467, 4055, 2120, 52, -240, 0, 0, 63, 1638, 17955, 107954, 387009, 837426, 1038681, 606606, 9828, -113624, -2016, 11520, 0, 9, 315, 4767, 40859, 217973, 747021, 1628877, 2122953, 1344798, -5516, -374024, -2592, 80640, 0, 0]

cp's OEIS Frontend

A202339 Triangle of numerators of coefficients of the polynomial Q_m(n) defined by the recursion Q_0(n)=1; for m >= 1, Q_m(n) = Sum_{i=1..n} iQ_(m-1)(i). For m >= 1, the denominator for all 2m+1 terms of the m-th row is A053657(m+1).

Table of values

List of values

cp's OEIS Frontend

A202339 Triangle of numerators of coefficients of the polynomial Q_m(n) defined by the recursion Q_0(n)=1; for m >= 1, Q_m(n) = Sum_{i=1..n} i*Q_(m-1)(i). For m >= 1, the denominator for all 2*m+1 terms of the m-th row is A053657(m+1).

Table of values

List of values

A202339 Triangle of numerators of coefficients of the polynomial Q_m(n) defined by the recursion Q_0(n)=1; for m >= 1, Q_m(n) = Sum_{i=1..n} iQ_(m-1)(i). For m >= 1, the denominator for all 2m+1 terms of the m-th row is A053657(m+1).