A214689 - cp's OEIS frontend

A214689 E.g.f. satisfies: A(x) = exp( 2xCatalan(xA(x)) ), where Catalan(x) = (1-sqrt(1-4x))/(2*x) is the g.f. of A000108.

n	a(n)
0	1
1	2
2	8
3	80
4	1360
5	32352
6	989824
7	37019264
8	1636370432
9	83464921088
10	4825001503744
11	311748850464768
12	22263047494942720
13	1741317007049007104
14	148042703132414148608
15	13593236125606306316288
16	1340587859012582977110016
17	141329649926949217139294208

[1, 2, 8, 80, 1360, 32352, 989824, 37019264, 1636370432, 83464921088, 4825001503744, 311748850464768, 22263047494942720, 1741317007049007104, 148042703132414148608, 13593236125606306316288, 1340587859012582977110016, 141329649926949217139294208]

cp's OEIS Frontend

A214689 E.g.f. satisfies: A(x) = exp( 2xCatalan(xA(x)) ), where Catalan(x) = (1-sqrt(1-4x))/(2*x) is the g.f. of A000108.

Table of values

List of values

cp's OEIS Frontend

A214689 E.g.f. satisfies: A(x) = exp( 2*x*Catalan(x*A(x)) ), where Catalan(x) = (1-sqrt(1-4*x))/(2*x) is the g.f. of A000108.

Table of values

List of values

A214689 E.g.f. satisfies: A(x) = exp( 2xCatalan(xA(x)) ), where Catalan(x) = (1-sqrt(1-4x))/(2*x) is the g.f. of A000108.