A153394 - cp's OEIS frontend

A153394 G.f.: A(x) = F(xG(x)^2)^3 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	3
2	18
3	118
4	813
5	5799
6	42470
7	317637
8	2416671
9	18649874
10	145655292
11	1149199212
12	9146686605
13	73354982763
14	592217363334
15	4809250320023
16	39258457746069
17	321964620209940
18	2651536017682988
19	21919266484180533
20	181820251665093357

[1, 3, 18, 118, 813, 5799, 42470, 317637, 2416671, 18649874, 145655292, 1149199212, 9146686605, 73354982763, 592217363334, 4809250320023, 39258457746069, 321964620209940, 2651536017682988, 21919266484180533, 181820251665093357]

cp's OEIS Frontend

A153394 G.f.: A(x) = F(xG(x)^2)^3 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

A153394 G.f.: A(x) = F(x*G(x)^2)^3 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

A153394 G.f.: A(x) = F(xG(x)^2)^3 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).