A116874 Generalized Catalan numbers C(2,4;n)=C(4,2;n).

1, 1, 6, 76, 1336, 27696, 631776, 15327936, 388158336, 10143429376, 271514492416, 7406771137536, 205171931723776, 5755684861259776, 163186022760308736, 4668631322653802496, 134608711249014521856

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.

J. Abate, W. Whitt, Brownian Motion and the Generalized Catalan Numbers, J. Int. Seq. 14 (2011) # 11.2.6, example section 4.

Formula

G.f.: (3+17*x+40*x^2*c(8*x))/((1+4*x)*(3+2*x)) with the g.f. c(x) for A000108 (Catalan numbers).

3*(-n+1)*a(n) +2*(41*n-113)*a(n-1) +8*(55*n-139)*a(n-2) +128*(2*n-5)*a(n-3)=0. - R. J. Mathar, Aug 09 2017

Crossrefs

Sequence in context: A120593 A318614 A236954 * A030044 A145165 A336713

Adjacent sequences: A116871 A116872 A116873 * A116875 A116876 A116877

Keyword

nonn,easy

Author

Wolfdieter Lang, Mar 24 2006

Status

approved