A127927 - cp's OEIS frontend

A127927 G.f. A(x) satisfies: [x^(2n)] A(x)/Catalan(x)^n = A001764(n) = C(3n,n)/(2n+1) and [x^(2n+1)] A(x)/Catalan(x)^n = A001764(n+1) for n>=0, where Catalan(x) is the g.f. of A000108.

n	a(n)
0	1
1	1
2	3
3	9
4	31
5	108
6	391
7	1431
8	5319
9	19926
10	75252
11	285750
12	1090491
13	4177774
14	16060401
15	61916977
16	239307063
17	926929746
18	3597296770
19	13984508500
20	54448030092
21	212282062488
22	828673761978
23	3238495227846
24	12669206034339

[1, 1, 3, 9, 31, 108, 391, 1431, 5319, 19926, 75252, 285750, 1090491, 4177774, 16060401, 61916977, 239307063, 926929746, 3597296770, 13984508500, 54448030092, 212282062488, 828673761978, 3238495227846, 12669206034339]

cp's OEIS Frontend

A127927 G.f. A(x) satisfies: [x^(2n)] A(x)/Catalan(x)^n = A001764(n) = C(3n,n)/(2n+1) and [x^(2n+1)] A(x)/Catalan(x)^n = A001764(n+1) for n>=0, where Catalan(x) is the g.f. of A000108.

Table of values

List of values