A100225 - cp's OEIS frontend

A100225 G.f. A(x) satisfies: 3^n - 1 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: (3+z)^n - (1+z)^n + z^n = Sum_{k=0..n} [x^k](A(x)+z*x)^n for all z, where [x^k]A(x)^n denotes the coefficient of x^k in A(x)^n.

n	a(n)
0	1
1	1
2	2
3	0
4	-4
5	0
6	16
7	0
8	-80
9	0
10	448
11	0
12	-2688
13	0
14	16896
15	0
16	-109824
17	0
18	732160
19	0
20	-4978688
21	0
22	34398208
23	0
24	-240787456
25	0
26	1704034304
27	0
28	-12171673600
29	0
30	87636049920
31	0
32	-635361361920
33	0
34	4634400522240
35	0
36	-33985603829760
37	0
38	250420238745600
39	0
40	-1853109766717440

[1, 1, 2, 0, -4, 0, 16, 0, -80, 0, 448, 0, -2688, 0, 16896, 0, -109824, 0, 732160, 0, -4978688, 0, 34398208, 0, -240787456, 0, 1704034304, 0, -12171673600, 0, 87636049920, 0, -635361361920, 0, 4634400522240, 0, -33985603829760, 0, 250420238745600, 0, -1853109766717440]

cp's OEIS Frontend

A100225 G.f. A(x) satisfies: 3^n - 1 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: (3+z)^n - (1+z)^n + z^n = Sum_{k=0..n} [x^k](A(x)+z*x)^n for all z, where [x^k]A(x)^n denotes the coefficient of x^k in A(x)^n.

Table of values

List of values