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A304823 Convolution of number of partitions into distinct parts and central binomial coefficients. 1
1, 3, 9, 30, 102, 361, 1308, 4819, 17970, 67614, 256156, 975742, 3733255, 14336290, 55224880, 213298817, 825741010, 3203142338, 12447523904, 48448301960, 188838707898, 736985826174, 2879588370517, 11263139964066, 44096779183060, 172797721166402 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..25.

FORMULA

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

MATHEMATICA

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

CROSSREFS

Cf. A000009, A000984, A292617, A304824.

Sequence in context: A228339 A257641 A048119 * A317875 A056333 A148948

Adjacent sequences:  A304820 A304821 A304822 * A304824 A304825 A304826

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, May 19 2018

STATUS

approved

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Last modified October 13 16:10 EDT 2019. Contains 327966 sequences. (Running on oeis4.)