A100239 - cp's OEIS frontend

A100239 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	3
2	-3
3	9
4	-36
5	162
6	-783
7	3969
8	-20817
9	112023
10	-615033
11	3431403
12	-19398690
13	110880900
14	-639730305
15	3720657807
16	-21790419444
17	128398625658
18	-760668489729
19	4528069760691
20	-27070491820644
21	162464919528222
22	-978463778897637
23	5911727071716891
24	-35821932198013809

[1, 3, -3, 9, -36, 162, -783, 3969, -20817, 112023, -615033, 3431403, -19398690, 110880900, -639730305, 3720657807, -21790419444, 128398625658, -760668489729, 4528069760691, -27070491820644, 162464919528222, -978463778897637, 5911727071716891, -35821932198013809]

cp's OEIS Frontend

A100239 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