A116875 Generalized Catalan numbers C(2,5;n)=C(5,2;n).

1, 1, 7, 109, 2383, 61621, 1755127, 53192749, 1683052063, 54960231781, 1838511095047, 62680788397789, 2170059386074543, 76086971405595541, 2696276508804038167, 96415261773063801229, 3474635368976138997823

Offset

0,3

Comments

See A116873 for C(2,3;n) and the Derrida et al., Schuetz-Domany and Liggett references.

Links

Table of n, a(n) for n=0..16.

Formula

G.f.: (2+13*x+30*x^2*c(10*x))/((1+5*x)*(2+x)) with the g.f. c(x) for A000108 (Catalan numbers).

Crossrefs

Sequence in context: A274668 A239848 A274787 * A357395 A371317 A303109

Adjacent sequences: A116872 A116873 A116874 * A116876 A116877 A116878

Keyword

nonn,easy

Author

Wolfdieter Lang, Mar 24 2006

Status

approved