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A038836 Convolution of Catalan numbers {1,2,5,14,...} with A002802 (5-fold convoluted central binomial coefficients). 3
1, 12, 95, 624, 3682, 20264, 106203, 536840, 2639230, 12692360, 59957846, 279081152, 1282981380, 5835994768, 26305678739, 117635236344, 522394992358, 2305593653960, 10120007354562, 44201842781536, 192208416186716 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Convolution of A038806(n+1), n >= 0, with A000984 (central binomial coefficients); also convolution of A029760 with A000302 (powers of 4).

LINKS

Table of n, a(n) for n=0..20.

FORMULA

a(n) = binomial(n+5, 2)*binomial(2*(n+3), n+2)/6 - (n+3)*2^(2*n+3); G.f. c(x)^2/(1-4*x)^(5/2), where c(x) = g.f. for Catalan numbers A000108;

CROSSREFS

Cf. A000108, A002802, A000302, A000984, A029760, A038806.

Sequence in context: A045829 A220683 A009647 * A026860 A021074 A027250

Adjacent sequences:  A038833 A038834 A038835 * A038837 A038838 A038839

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified April 11 08:10 EDT 2021. Contains 342886 sequences. (Running on oeis4.)