A357792 - cp's OEIS frontend

A357792 a(n) = coefficient of x^n in A(x) = Sum_{n>=0} C(x)^n * (1 - C(x)^n)^n, where C(x) = x + C(x)^2 is a g.f. of the Catalan numbers (A000108).

n	a(n)
0	1
1	1
2	1
3	3
4	7
5	20
6	60
7	189
8	613
9	2039
10	6918
11	23850
12	83315
13	294282
14	1049279
15	3771685
16	13653313
17	49730599
18	182130129
19	670274170
20	2477514172
21	9193599339
22	34237330355
23	127914531260
24	479318575375
25	1800971051420
26	6783809423496
27	25611913597250
28	96903193235645
29	367363376407250

[1, 1, 1, 3, 7, 20, 60, 189, 613, 2039, 6918, 23850, 83315, 294282, 1049279, 3771685, 13653313, 49730599, 182130129, 670274170, 2477514172, 9193599339, 34237330355, 127914531260, 479318575375, 1800971051420, 6783809423496, 25611913597250, 96903193235645, 367363376407250]

cp's OEIS Frontend

A357792 a(n) = coefficient of x^n in A(x) = Sum_{n>=0} C(x)^n * (1 - C(x)^n)^n, where C(x) = x + C(x)^2 is a g.f. of the Catalan numbers (A000108).

Table of values

List of values