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%I #16 Aug 15 2016 10:07:45
%S 0,3,9,29,80,220,588,1563,4125,10857,28512,74792,196040,513619,
%T 1345281,3522981,9224880,24153636,63239220,165569195,433476725,
%U 1134874513,2971168704,7778667024,20364889680,53316094755,139583544633,365434781933
%N a(n) = Sum_{j=0..n} Sum_{i=0..j} L(i)*F(j) where L(i)=A000032(i) and F(j)=A000045(j).
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (4,-2,-6,4,2,-1).
%F a(n) = A001519(n+2) - A000045(n+2) - A059841(n).
%F G.f.: -x*(-3+3*x+x^2) / ( (x-1)*(1+x)*(x^2-3*x+1)*(x^2+x-1) ). - _R. J. Mathar_, May 17 2014
%e For n=5, a(n) = F(2*5+3) - F(5+2) - 0 = 233 - 13 = 220.
%t LinearRecurrence[{4,-2,-6,4,2,-1},{0,3,9,29,80,220},30] (* _Harvey P. Dale_, Aug 15 2016 *)
%Y Cf. A190173, A000045, A000032, A242300, A242496.
%K nonn,easy
%O 0,2
%A _J. M. Bergot_, May 17 2014
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