A154337 - cp's OEIS frontend

A154337 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}] -(x - 1)^(n + 1)Sum[((-1)^(n + 1)k^n)x^k, {k, 0, Infinity}]/x)/2.

n	a(n)
0	1
1	1
2	1
3	1
4	7
5	1
6	1
7	29
8	29
9	1
10	1
11	101
12	312
13	101
14	1
15	1
16	327
17	2372
18	2372
19	327
20	1
21	1
22	1023
23	15219
24	34114
25	15219
26	1023
27	1
28	1
29	3145
30	88839
31	381775
32	381775
33	88839
34	3145
35	1
36	1
37	9577
38	490114
39	3683815
40	6934426
41	3683815
42	490114
43	9577
44	1
45	1
46	29003
47	2610590
48	32334362
49	103464764
50	103464764
51	32334362
52	2610590
53	29003
54	1

[1, 1, 1, 1, 7, 1, 1, 29, 29, 1, 1, 101, 312, 101, 1, 1, 327, 2372, 2372, 327, 1, 1, 1023, 15219, 34114, 15219, 1023, 1, 1, 3145, 88839, 381775, 381775, 88839, 3145, 1, 1, 9577, 490114, 3683815, 6934426, 3683815, 490114, 9577, 1, 1, 29003, 2610590, 32334362, 103464764, 103464764, 32334362, 2610590, 29003, 1]

cp's OEIS Frontend

A154337 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}] -(x - 1)^(n + 1)Sum[((-1)^(n + 1)k^n)x^k, {k, 0, Infinity}]/x)/2.

Table of values

List of values

cp's OEIS Frontend

A154337 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}] -(x - 1)^(n + 1)*Sum[((-1)^(n + 1)*k^n)*x^k, {k, 0, Infinity}]/x)/2.

Table of values

List of values

A154337 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}] -(x - 1)^(n + 1)Sum[((-1)^(n + 1)k^n)x^k, {k, 0, Infinity}]/x)/2.