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A045724 Convolution of Catalan numbers A000108 with A020918. 4
1, 15, 142, 1083, 7266, 44758, 259356, 1435347, 7663898, 39761282, 201483204, 1001098462, 4891910100, 23565178380, 112118316088, 527674017411, 2459747256138, 11368724035210, 52145629874100, 237541552456362 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also convolution of A001700 with A038845; also convolution of A029887 with A000302 (powers of 4); also convolution of A042941 with A000984 (central binomial coefficients).

LINKS

Table of n, a(n) for n=0..19.

FORMULA

a(n) = binomial(n+4, 3)*A000984(n+4)/(2*A000984(3)) - (n+3)*(n+2)*4^n, A000984(n)=binomial(2*n, n); G.f. c(x)/(1-4*x)^(7/2) = (2-c(x))/(1-4*x)^4, where c(x) = g.f. for Catalan numbers.

CROSSREFS

Sequence in context: A026859 A096046 A093117 * A241402 A252825 A279921

Adjacent sequences:  A045721 A045722 A045723 * A045725 A045726 A045727

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified September 19 15:09 EDT 2020. Contains 337178 sequences. (Running on oeis4.)