A293210 - OEIS

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

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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.