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A278800 G.f.: Sum_{k>0} x^prime(k)/(1-x)^k. 0
0, 0, 1, 2, 3, 5, 8, 13, 21, 33, 50, 74, 108, 157, 229, 336, 495, 730, 1075, 1579, 2314, 3387, 4957, 7259, 10638, 15597, 22864, 33484, 48943, 71333, 103570, 149682, 215192, 307633, 437249, 617959, 868691, 1215232, 1692791, 2349539, 3251478, 4489107, 6186507, 8513674 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..43.

FORMULA

G.f.: Sum_{k>0} x^Prime(k)/(1-x)^k.

MATHEMATICA

CoefficientList[Series[Sum[x^Prime[k]/(1 - x)^k, {k, 1, 40}], {x, 0, 40}], x]

CROSSREFS

Sequence in context: A011185 A240733 A283936 * A334738 A286938 A055806

Adjacent sequences:  A278797 A278798 A278799 * A278801 A278802 A278803

KEYWORD

nonn

AUTHOR

Benedict W. J. Irwin, Nov 28 2016

STATUS

approved

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Last modified December 1 14:10 EST 2021. Contains 349430 sequences. (Running on oeis4.)