login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A116876
Generalized Catalan numbers C(2,6;n)=C(6,2;n).
0
1, 1, 8, 148, 3872, 120016, 4099712, 149049664, 5657960960, 221678337280, 8897559799808, 363982704071680, 15120552582127616, 636153538316259328, 27050546920814968832, 1160701969453516668928, 50193802774799009841152
OFFSET
0,3
COMMENTS
See A116873 for C(2,3;n) and the Derrida et al., Schuetz-Domany and Liggett references.
FORMULA
G.f.: (5+37*x+84*x^2*c(12*x))/((1+6*x)*(5+2*x)) with the g.f. c(x) for A000108 (Catalan numbers).
CROSSREFS
Sequence in context: A212732 A220297 A307942 * A218305 A244028 A075351
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Mar 24 2006
STATUS
approved