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%I #4 Mar 31 2012 13:19:58
%S 1,12,95,624,3682,20264,106203,536840,2639230,12692360,59957846,
%T 279081152,1282981380,5835994768,26305678739,117635236344,
%U 522394992358,2305593653960,10120007354562,44201842781536,192208416186716
%N Convolution of Catalan numbers {1,2,5,14,...} with A002802 (5-fold convoluted central binomial coefficients).
%C Convolution of A038806(n+1), n >= 0, with A000984 (central binomial coefficients); also convolution of A029760 with A000302 (powers of 4).
%F 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;
%Y Cf. A000108, A002802, A000302, A000984, A029760, A038806.
%K easy,nonn
%O 0,2
%A _Wolfdieter Lang_
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