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A295772
a(n) = Sum_{k=0..n} binomial((n-k)*k, k).
3
1, 1, 2, 4, 11, 41, 189, 1020, 6277, 43262, 328963, 2727076, 24425913, 234743744, 2406904525, 26202132494, 301579542517, 3656552470482, 46555182556971, 620695577790512, 8644238847922949, 125472134647552497, 1894393648378487895, 29696659293381522674
OFFSET
0,3
LINKS
FORMULA
log(a(n)) ~ n*(log(n) - log(log(n)) + (log(log(n)) - 1)/log(n)). - Vaclav Kotesovec, Jan 10 2023
MAPLE
seq(add(binomial((n-k)*k, k), k=0..n), n=0..30); # Robert Israel, Nov 27 2017
MATHEMATICA
Table[Sum[Binomial[(n-k)*k, k], {k, 0, n}], {n, 0, 30}]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vaclav Kotesovec, Nov 27 2017
STATUS
approved