A155951 - cp's OEIS frontend

A155951 Triangle read by rows. Let q(x,n) = -((x - 1)^(2n + 1)/x^n)Sum[(k + n)^nBinomial[k, n]x^k, {k, 0, Infinity}]; p(x,n)=q(x,n)+x^n*q(1/x,n); then row n gives coefficients of p(x,n).

n	a(n)
0	2
1	4
2	17
3	-10
4	17
5	208
6	-88
7	-88
8	208
9	4177
10	-4708
11	4422
12	-4708
13	4177
14	98976
15	-123888
16	55152
17	55152
18	-123888
19	98976
20	3001609
21	-5204582
22	5360567
23	-4984628
24	5360567
25	-5204582
26	3001609
27	105133568
28	-210753520
29	208361232
30	-85444000
31	-85444000

[2, 4, 17, -10, 17, 208, -88, -88, 208, 4177, -4708, 4422, -4708, 4177, 98976, -123888, 55152, 55152, -123888, 98976, 3001609, -5204582, 5360567, -4984628, 5360567, -5204582, 3001609, 105133568, -210753520, 208361232, -85444000, -85444000]

cp's OEIS Frontend

A155951 Triangle read by rows. Let q(x,n) = -((x - 1)^(2n + 1)/x^n)Sum[(k + n)^nBinomial[k, n]x^k, {k, 0, Infinity}]; p(x,n)=q(x,n)+x^n*q(1/x,n); then row n gives coefficients of p(x,n).

Table of values

List of values

cp's OEIS Frontend

A155951 Triangle read by rows. Let q(x,n) = -((x - 1)^(2*n + 1)/x^n)*Sum[(k + n)^n*Binomial[k, n]*x^k, {k, 0, Infinity}]; p(x,n)=q(x,n)+x^n*q(1/x,n); then row n gives coefficients of p(x,n).

Table of values

List of values

A155951 Triangle read by rows. Let q(x,n) = -((x - 1)^(2n + 1)/x^n)Sum[(k + n)^nBinomial[k, n]x^k, {k, 0, Infinity}]; p(x,n)=q(x,n)+x^n*q(1/x,n); then row n gives coefficients of p(x,n).