A259279 a(n) = Sum_{k=0..n} k^2 * A000041(k).

0, 1, 9, 36, 116, 291, 687, 1422, 2830, 5260, 9460, 16236, 27324, 44393, 70853, 110453, 169589, 255422, 380162, 557052, 807852, 1157124, 1642092, 2305987, 3213187, 4436937, 6083673, 8277963, 11192875, 15032040, 20075640, 26650802, 35200178, 46245905, 60476265

Offset

0,3

Links

Table of n, a(n) for n=0..34.

Formula

a(n) ~ n^(3/2) * exp(Pi*sqrt(2*n/3)) / (Pi*2^(3/2)).

Mathematica

Table[Sum[k^2*PartitionsP[k], {k, 0, n}], {n, 0, 50}]

Crossrefs

Cf. A000041, A182738, A086716.

Sequence in context: A212104 A193007 A369888 * A168569 A213283 A188162

Adjacent sequences: A259276 A259277 A259278 * A259280 A259281 A259282

Keyword

nonn

Author

Vaclav Kotesovec, Jun 23 2015

Status

approved