A293210 a(n) = [x^n] (1/(1 - x)^n)*Sum_{k>=1} prime(k)*x^k.

0, 2, 7, 26, 97, 366, 1388, 5288, 20225, 77618, 298766, 1153018, 4460072, 17287558, 67129566, 261095420, 1016994627, 3966529870, 15488964428, 60549061804, 236932924494, 927984726826, 3637661249946, 14270586372348, 56024073085546, 220089137078792, 865154426179408, 3402841810234762, 13391422390407194

Offset

0,2

Links

Table of n, a(n) for n=0..28.

Formula

a(n) = A254858(n,n).

Mathematica

Table[SeriesCoefficient[1/(1 - x)^n Sum[Prime[k] x^k, {k, 1, n}], {x, 0, n}], {n, 0, 28}]

Crossrefs

Diagonal of A254858.

Cf. A000040, A007504, A014148, A014150, A178138, A254784.

CF. A007442, A082594.

Sequence in context: A275013 A278351 A001075 * A113436 A126223 A369231

Adjacent sequences: A293207 A293208 A293209 * A293211 A293212 A293213

Keyword

nonn

Author

Ilya Gutkovskiy, Oct 02 2017

Status

approved