A100228 - cp's OEIS frontend

A100228 G.f. A(x) satisfies: 4^n - 1 = Sum_{k=0..n} [x^k] A(x)^n and also satisfies: (4+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	2
2	3
3	-3
4	-6
5	24
6	3
7	-183
8	273
9	1131
10	-4407
11	-3081
12	48360
13	-54750
14	-396195
15	1282551
16	1860186
17	-17122944
18	11240049
19	166745823
20	-432682314
21	-1054472016
22	6822994737
23	-835915197
24	-76044224139
25	152526011235
26	587055710271
27	-2871405804783
28	-1378878506592
29	36081844133766

[1, 2, 3, -3, -6, 24, 3, -183, 273, 1131, -4407, -3081, 48360, -54750, -396195, 1282551, 1860186, -17122944, 11240049, 166745823, -432682314, -1054472016, 6822994737, -835915197, -76044224139, 152526011235, 587055710271, -2871405804783, -1378878506592, 36081844133766]

cp's OEIS Frontend

A100228 G.f. A(x) satisfies: 4^n - 1 = Sum_{k=0..n} [x^k] A(x)^n and also satisfies: (4+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