A038836 Convolution of Catalan numbers {1,2,5,14,...} with A002802 (5-fold convoluted central binomial coefficients).

1, 12, 95, 624, 3682, 20264, 106203, 536840, 2639230, 12692360, 59957846, 279081152, 1282981380, 5835994768, 26305678739, 117635236344, 522394992358, 2305593653960, 10120007354562, 44201842781536, 192208416186716

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