A299042 - cp's OEIS frontend

A299042 G.f.: Sum_{n>=0} x^(n^2) * C(x^n)^n, where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).

n	a(n)
0	1
1	1
2	1
3	2
4	6
5	14
6	44
7	132
8	434
9	1431
10	4876
11	16796
12	58831
13	208012
14	743032
15	2674449
16	9695275
17	35357670
18	129646248
19	477638700
20	1767268056
21	6564120510
22	24466283816
23	91482563640
24	343059672747
25	1289904147325
26	4861946609464
27	18367353073153
28	69533551658952
29	263747951750360
30	1002242219329245
31	3814986502092304
32	14544636048921919
33	55534064877060132
34	212336130447600780

[1, 1, 1, 2, 6, 14, 44, 132, 434, 1431, 4876, 16796, 58831, 208012, 743032, 2674449, 9695275, 35357670, 129646248, 477638700, 1767268056, 6564120510, 24466283816, 91482563640, 343059672747, 1289904147325, 4861946609464, 18367353073153, 69533551658952, 263747951750360, 1002242219329245, 3814986502092304, 14544636048921919, 55534064877060132, 212336130447600780]

cp's OEIS Frontend

A299042 G.f.: Sum_{n>=0} x^(n^2) * C(x^n)^n, where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).

Table of values

List of values