A100231 - cp's OEIS frontend

A100231 G.f. A(x) satisfies: 5^n - 1 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: (5+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	3
2	4
3	-8
4	0
5	64
6	-192
7	-128
8	2816
9	-7680
10	-13312
11	157696
12	-352256
13	-1179648
14	9748480
15	-16220160
16	-99614720
17	630456320
18	-651427840
19	-8218214400
20	41481666560
21	-13191086080
22	-667334737920
23	2724661821440
24	1460876083200
25	-53446942130176
26	175607589634048
27	286761410363392

[1, 3, 4, -8, 0, 64, -192, -128, 2816, -7680, -13312, 157696, -352256, -1179648, 9748480, -16220160, -99614720, 630456320, -651427840, -8218214400, 41481666560, -13191086080, -667334737920, 2724661821440, 1460876083200, -53446942130176, 175607589634048, 286761410363392]

cp's OEIS Frontend

A100231 G.f. A(x) satisfies: 5^n - 1 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: (5+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