%I #8 Dec 07 2016 11:05:15
%S 0,0,1,2,3,5,8,13,21,33,50,74,108,157,229,336,495,730,1075,1579,2314,
%T 3387,4957,7259,10638,15597,22864,33484,48943,71333,103570,149682,
%U 215192,307633,437249,617959,868691,1215232,1692791,2349539,3251478,4489107,6186507,8513674
%N G.f.: Sum_{k>0} x^prime(k)/(1-x)^k.
%F G.f.: Sum_{k>0} x^Prime(k)/(1-x)^k.
%t CoefficientList[Series[Sum[x^Prime[k]/(1 - x)^k, {k, 1, 40}], {x, 0, 40}], x]
%K nonn
%O 0,4
%A _Benedict W. J. Irwin_, Nov 28 2016