A116878 Generalized Catalan numbers C(2,8;n)=C(8,2;n).

1, 1, 10, 244, 8488, 350416, 15951520, 772998976, 39116022400, 2043110206720, 109327631034880, 5962676777841664, 330245816572389376, 18524490234081366016, 1050217217793635295232, 60082184145887689129984

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..15.

Formula

G.f.:(7+65*x+144*x^2*c(16*x))/((1+8*x)*(7+2*x)) with the g.f. c(x) for A000108 (Catalan numbers).

Crossrefs

Sequence in context: A087435 A331611 A122836 * A218307 A249564 A034222

Adjacent sequences: A116875 A116876 A116877 * A116879 A116880 A116881

Keyword

nonn,easy

Author

Wolfdieter Lang, Mar 24 2006

Status

approved