A153299 - cp's OEIS frontend

A153299 G.f.: A(x) = F(xG(x)) where F(x) = G(xF(x)) = 1 + xF(x)^3 is the g.f. of A001764 and G(x) = F(x/G(x)) = 1 + xG(x)^2 is the g.f. of A000108 (Catalan).

n	a(n)
0	1
1	1
2	4
3	20
4	111
5	657
6	4067
7	26028
8	170913
9	1145446
10	7804797
11	53911104
12	376669462
13	2657391772
14	18904566514
15	135460704648
16	976795422828
17	7082951967141
18	51614974500605
19	377798933519164
20	2776363089297553
21	20476554379564305

[1, 1, 4, 20, 111, 657, 4067, 26028, 170913, 1145446, 7804797, 53911104, 376669462, 2657391772, 18904566514, 135460704648, 976795422828, 7082951967141, 51614974500605, 377798933519164, 2776363089297553, 20476554379564305]

cp's OEIS Frontend

A153299 G.f.: A(x) = F(xG(x)) where F(x) = G(xF(x)) = 1 + xF(x)^3 is the g.f. of A001764 and G(x) = F(x/G(x)) = 1 + xG(x)^2 is the g.f. of A000108 (Catalan).

Table of values

List of values

cp's OEIS Frontend

A153299 G.f.: A(x) = F(x*G(x)) where F(x) = G(x*F(x)) = 1 + x*F(x)^3 is the g.f. of A001764 and G(x) = F(x/G(x)) = 1 + x*G(x)^2 is the g.f. of A000108 (Catalan).

Table of values

List of values

A153299 G.f.: A(x) = F(xG(x)) where F(x) = G(xF(x)) = 1 + xF(x)^3 is the g.f. of A001764 and G(x) = F(x/G(x)) = 1 + xG(x)^2 is the g.f. of A000108 (Catalan).