A100223 - cp's OEIS frontend

A100223 G.f. A(x) satisfies: 2^n - 1 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: (2+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	0
2	1
3	1
4	0
5	-2
6	-3
7	1
8	11
9	15
10	-13
11	-77
12	-86
13	144
14	595
15	495
16	-1520
17	-4810
18	-2485
19	15675
20	39560
21	6290
22	-159105
23	-324805
24	87075
25	1592843
26	2616757
27	-2136539
28	-15726114
29	-20247800
30	32296693
31	152909577
32	145139491
33	-417959049
34	-1460704685
35	-885536173
36	4997618808
37	13658704994
38	3223741399

[1, 0, 1, 1, 0, -2, -3, 1, 11, 15, -13, -77, -86, 144, 595, 495, -1520, -4810, -2485, 15675, 39560, 6290, -159105, -324805, 87075, 1592843, 2616757, -2136539, -15726114, -20247800, 32296693, 152909577, 145139491, -417959049, -1460704685, -885536173, 4997618808, 13658704994, 3223741399]

cp's OEIS Frontend

A100223 G.f. A(x) satisfies: 2^n - 1 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: (2+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