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%I #6 Jun 13 2015 00:51:30
%S 1,10,65,360,1870,9476,47590,238280,1191895,5960190,29801951,
%T 149011120,745057420,3725289480,18626450460,93132256176,465661285725,
%U 2328306434610,11641532180365,58207660910680,291038304564026
%N a(n)=5a(n-1)+C(n+4,4),n>0, a(0)=1.
%C Partial sums of A097790.
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (10,-35,60,-55,26,-5).
%F G.f. : 1/((1-5x)(1-x)^5)); a(n)=5^(n+5)/1024-(32n^4+480n^3+2680n^2+6660n+6303)/3072; a(n)=sum{k=0..n, binomial(n+5, k+5)4^k}.
%K easy,nonn
%O 0,2
%A _Paul Barry_, Aug 24 2004
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