OFFSET
0,3
COMMENTS
This triangle generalizes the 'new' Catalan triangle A028364 (which could be called CM(1,1); M stands for author Meeussen).
LINKS
Nathaniel Johnston, Table of n, a(n) for n = 0..2500
W. Lang: First 10 rows.
FORMULA
MAPLE
lim:=8: c:=(1-sqrt(1-8*x))/(4*x): g:=(1+2*x*c)/(1+x): gf1:=g*(x*c)^m: for m from 0 to lim do t:=taylor(gf1, x, lim+1): for n from 0 to lim do a[n, m]:=coeff(t, x, n):od:od: gf2:=g*sum(a[s, k]*(2*c)^k, k=0..s): for s from 0 to lim do t:=taylor(gf2, x, lim+1): for n from 0 to lim do b[n, s]:=coeff(t, x, n):od:od: seq(seq(b[n-s, s], s=0..n), n=0..lim); # Nathaniel Johnston, Apr 30 2011
CROSSREFS
KEYWORD
AUTHOR
Wolfdieter Lang, Mar 24 2006
STATUS
approved