A154336 - cp's OEIS frontend

A154336 A triangular sequence of coefficients of polynomials: p(x,n)=(3(x - 1)^(n)Sum[(((-1)^(n)(2k + 1)^(n - 1)))x^k, {k,0, Infinity}] -2(x - 1)^(n + 1)Sum[((-1)^(n + 1)k^n)*x^k, {k, 0, Infinity}]/x).

n	a(n)
0	1
1	1
2	1
3	1
4	10
5	1
6	1
7	47
8	47
9	1
10	1
11	176
12	558
13	176
14	1
15	1
16	597
17	4442
18	4442
19	597
20	1
21	1
22	1926
23	29247
24	65812
25	29247
26	1926
27	1
28	1
29	6043
30	173385
31	747931
32	747931
33	173385
34	6043
35	1
36	1
37	18652
38	965620
39	7279396
40	13712662
41	7279396
42	965620
43	18652
44	1
45	1
46	56993
47	5173340
48	64213532
49	205619174
50	205619174
51	64213532
52	5173340
53	56993
54	1

[1, 1, 1, 1, 10, 1, 1, 47, 47, 1, 1, 176, 558, 176, 1, 1, 597, 4442, 4442, 597, 1, 1, 1926, 29247, 65812, 29247, 1926, 1, 1, 6043, 173385, 747931, 747931, 173385, 6043, 1, 1, 18652, 965620, 7279396, 13712662, 7279396, 965620, 18652, 1, 1, 56993, 5173340, 64213532, 205619174, 205619174, 64213532, 5173340, 56993, 1]

cp's OEIS Frontend

A154336 A triangular sequence of coefficients of polynomials: p(x,n)=(3(x - 1)^(n)Sum[(((-1)^(n)(2k + 1)^(n - 1)))x^k, {k,0, Infinity}] -2(x - 1)^(n + 1)Sum[((-1)^(n + 1)k^n)*x^k, {k, 0, Infinity}]/x).

Table of values

List of values

cp's OEIS Frontend

A154336 A triangular sequence of coefficients of polynomials: p(x,n)=(3*(x - 1)^(n)*Sum[(((-1)^(n)*(2*k + 1)^(n - 1)))*x^k, {k,0, Infinity}] -2*(x - 1)^(n + 1)*Sum[((-1)^(n + 1)*k^n)*x^k, {k, 0, Infinity}]/x).

Table of values

List of values

A154336 A triangular sequence of coefficients of polynomials: p(x,n)=(3(x - 1)^(n)Sum[(((-1)^(n)(2k + 1)^(n - 1)))x^k, {k,0, Infinity}] -2(x - 1)^(n + 1)Sum[((-1)^(n + 1)k^n)*x^k, {k, 0, Infinity}]/x).