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A304823 Convolution of number of partitions into distinct parts and central binomial coefficients. 1

%I

%S 1,3,9,30,102,361,1308,4819,17970,67614,256156,975742,3733255,

%T 14336290,55224880,213298817,825741010,3203142338,12447523904,

%U 48448301960,188838707898,736985826174,2879588370517,11263139964066,44096779183060,172797721166402

%N Convolution of number of partitions into distinct parts and central binomial coefficients.

%F a(n) ~ QPochhammer[-1, 1/4] * 2^(2*n-1) / sqrt(Pi*n).

%t Table[Sum[PartitionsQ[n-k]*Binomial[2*k, k], {k, 0, n}], {n, 0, 25}]

%Y Cf. A000009, A000984, A292617, A304824.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, May 19 2018

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Last modified November 12 17:06 EST 2019. Contains 329058 sequences. (Running on oeis4.)