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A359665
a(n) = Sum_{k=0..n} binomial(k^3, k).
2
1, 2, 30, 2955, 638331, 235169606, 131748994154, 104332124742623, 110963563379491743, 152605484049946645638, 263562165946020159478038, 558488792578762177358255808, 1424733420462958066911824023728, 4307309064570490624823548890385698, 15228800547242034570505949850130312826
OFFSET
0,2
FORMULA
a(n) ~ exp(n) * n^(2*n - 1/2) / sqrt(2*Pi).
MATHEMATICA
Table[Sum[Binomial[k^3, k], {k, 0, n}], {n, 0, 20}]
PROG
(PARI) a(n) = sum(k=0, n, binomial(k^3, k)); \\ Michel Marcus, Jan 10 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jan 10 2023
STATUS
approved