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%I #4 May 19 2018 11:59:58
%S 1,3,10,33,113,397,1431,5249,19514,73260,277100,1054248,4029859,
%T 15463765,59531725,229816430,889301153,3448417251,13396337155,
%U 52126461984,203124067675,792559645912,3096104725974,12107810534937,47395948167885,185697860476576
%N Convolution of central binomial coefficients and partition numbers.
%F a(n) ~ 4^n / (QPochhammer[1/4] * sqrt(Pi*n)).
%t Table[Sum[PartitionsP[n-k]*Binomial[2*k, k], {k, 0, n}], {n, 0, 25}]
%Y Cf. A000041, A000984, A014329, A304823.
%K nonn
%O 0,2
%A _Vaclav Kotesovec_, May 19 2018