A177984 - cp's OEIS frontend

A177984 A symmetrical triangle of polynomial coefficients:p(x,n)=If[n == 0, 1, (1 - x)^(n + 1)Sum[((2k + 1)^n + (k + 1)^n + k^n)*x^k, {k, 0, Infinity}]/2].

n	a(n)
0	1
1	1
2	1
3	1
4	4
5	1
6	1
7	14
8	14
9	1
10	1
11	44
12	126
13	44
14	1
15	1
16	132
17	887
18	887
19	132
20	1
21	1
22	390
23	5451
24	12076
25	5451
26	390
27	1
28	1
29	1150
30	30984
31	131665
32	131665
33	30984
34	1150
35	1
36	1
37	3400
38	168076
39	1252600
40	2353126
41	1252600
42	168076
43	3400
44	1
45	1
46	10088
47	885725
48	10905407
49	34828859

[1, 1, 1, 1, 4, 1, 1, 14, 14, 1, 1, 44, 126, 44, 1, 1, 132, 887, 887, 132, 1, 1, 390, 5451, 12076, 5451, 390, 1, 1, 1150, 30984, 131665, 131665, 30984, 1150, 1, 1, 3400, 168076, 1252600, 2353126, 1252600, 168076, 3400, 1, 1, 10088, 885725, 10905407, 34828859]

cp's OEIS Frontend

A177984 A symmetrical triangle of polynomial coefficients:p(x,n)=If[n == 0, 1, (1 - x)^(n + 1)Sum[((2k + 1)^n + (k + 1)^n + k^n)*x^k, {k, 0, Infinity}]/2].

Table of values

List of values

cp's OEIS Frontend

A177984 A symmetrical triangle of polynomial coefficients:p(x,n)=If[n == 0, 1, (1 - x)^(n + 1)*Sum[((2*k + 1)^n + (k + 1)^n + k^n)*x^k, {k, 0, Infinity}]/2].

Table of values

List of values

A177984 A symmetrical triangle of polynomial coefficients:p(x,n)=If[n == 0, 1, (1 - x)^(n + 1)Sum[((2k + 1)^n + (k + 1)^n + k^n)*x^k, {k, 0, Infinity}]/2].