A100234 - cp's OEIS frontend

A100234 G.f. A(x) satisfies: 6^n - 1 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: (6+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	4
2	5
3	-15
4	20
5	90
6	-695
7	1785
8	3895
9	-53985
10	196255
11	121635
12	-4907130
13	23332140
14	-13181145
15	-470127465
16	2866898820
17	-4455872910
18	-44776087145
19	356263904235
20	-873534120380
21	-3988869806010
22	44179467566755
23	-147200296896765
24	-293052319462105
25	5409366658571715

[1, 4, 5, -15, 20, 90, -695, 1785, 3895, -53985, 196255, 121635, -4907130, 23332140, -13181145, -470127465, 2866898820, -4455872910, -44776087145, 356263904235, -873534120380, -3988869806010, 44179467566755, -147200296896765, -293052319462105, 5409366658571715]

cp's OEIS Frontend

A100234 G.f. A(x) satisfies: 6^n - 1 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: (6+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