A155871 - cp's OEIS frontend

A155871 Subtraction of polynomial coefficients of MacMahon A060187 from third derivative of Pascal's triangle A155863: p(x,n)=(If[n == 0, 1, x^n + 1 + xD[( x + 1)^(n + 1), {x, 3}]] - 2^n(1 - x)^(1 + n)*LerchPhi[x, -n, 1/2])/x.

n	a(n)
3	1
4	1
5	-16
6	-110
7	-16
8	-117
9	-1322
10	-1322
11	-117
12	-512
13	-9703
14	-22288
15	-9703
16	-512
17	-1843
18	-58977
19	-256363
20	-256363
21	-58977
22	-1843
23	-6048
24	-328588
25	-2477728
26	-4664934
27	-2477728
28	-328588
29	-6048
30	-18953
31	-1751300
32	-21692852
33	-69388094

[1, 1, -16, -110, -16, -117, -1322, -1322, -117, -512, -9703, -22288, -9703, -512, -1843, -58977, -256363, -256363, -58977, -1843, -6048, -328588, -2477728, -4664934, -2477728, -328588, -6048, -18953, -1751300, -21692852, -69388094]

cp's OEIS Frontend

A155871 Subtraction of polynomial coefficients of MacMahon A060187 from third derivative of Pascal's triangle A155863: p(x,n)=(If[n == 0, 1, x^n + 1 + xD[( x + 1)^(n + 1), {x, 3}]] - 2^n(1 - x)^(1 + n)*LerchPhi[x, -n, 1/2])/x.

Table of values

List of values

cp's OEIS Frontend

A155871 Subtraction of polynomial coefficients of MacMahon A060187 from third derivative of Pascal's triangle A155863: p(x,n)=(If[n == 0, 1, x^n + 1 + x*D[( x + 1)^(n + 1), {x, 3}]] - 2^n*(1 - x)^(1 + n)*LerchPhi[x, -n, 1/2])/x.

Table of values

List of values

A155871 Subtraction of polynomial coefficients of MacMahon A060187 from third derivative of Pascal's triangle A155863: p(x,n)=(If[n == 0, 1, x^n + 1 + xD[( x + 1)^(n + 1), {x, 3}]] - 2^n(1 - x)^(1 + n)*LerchPhi[x, -n, 1/2])/x.