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A304824 Convolution of central binomial coefficients and partition numbers. 1
1, 3, 10, 33, 113, 397, 1431, 5249, 19514, 73260, 277100, 1054248, 4029859, 15463765, 59531725, 229816430, 889301153, 3448417251, 13396337155, 52126461984, 203124067675, 792559645912, 3096104725974, 12107810534937, 47395948167885, 185697860476576 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

FORMULA

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

MATHEMATICA

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

CROSSREFS

Cf. A000041, A000984, A014329, A304823.

Sequence in context: A071722 A058987 A001558 * A111639 A302076 A149029

Adjacent sequences:  A304821 A304822 A304823 * A304825 A304826 A304827

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, May 19 2018

STATUS

approved

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Last modified August 20 01:14 EDT 2019. Contains 326136 sequences. (Running on oeis4.)