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A071715
Expansion of (1+x*C^4)*C^4, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.
0
1, 5, 22, 92, 373, 1482, 5810, 22576, 87210, 335597, 1288276, 4938100, 18913245, 72416190, 277278570, 1061970720, 4069098750, 15600014370, 59845059924, 229737429048, 882572168450, 3393064828340, 13054529476852, 50264063289888
OFFSET
0,2
FORMULA
Conjecture: (891*n+6824)*(n+7)*a(n) +(891*n^2-38453*n-250970)*a(n-1) +4*(-5040*n^2-4271*n+8095)*a(n-2) +4*(1170*n+3847)*(2*n-1)*a(n-3)=0. - R. J. Mathar, Aug 25 2013
CROSSREFS
Sequence in context: A172061 A211973 A053297 * A278472 A010036 A127617
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jun 06 2002
STATUS
approved