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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
OFFSET
0,2
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
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, May 19 2018
STATUS
approved