A153393 - cp's OEIS frontend

A153393 G.f.: A(x) = F(xG(x)^2)^2 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	2
2	11
3	68
4	449
5	3102
6	22167
7	162626
8	1218411
9	9285888
10	71778489
11	561453704
12	4436120129
13	35354290118
14	283876985742
15	2294347190142
16	18650560232199
17	152386763938940
18	1250801705584643
19	10308949444236522
20	85281112255921359

[1, 2, 11, 68, 449, 3102, 22167, 162626, 1218411, 9285888, 71778489, 561453704, 4436120129, 35354290118, 283876985742, 2294347190142, 18650560232199, 152386763938940, 1250801705584643, 10308949444236522, 85281112255921359]

cp's OEIS Frontend

A153393 G.f.: A(x) = F(xG(x)^2)^2 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

A153393 G.f.: A(x) = F(x*G(x)^2)^2 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

A153393 G.f.: A(x) = F(xG(x)^2)^2 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).