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%I #6 Jun 13 2015 00:51:30
%S 1,9,51,239,1026,4230,17130,68850,275895,1104295,4418181,17674089,
%T 70698176,282795084,1131183396,4524737460,18098954685,72395824725,
%U 289583306215,1158333233715,4633332945486,18533331794594,74133327193326
%N a(n)=4a(n-1)+C(n+4,4),n>0, a(0)=1.
%C Partial sums of A097788.
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (9,-30,50,-45,21,-4).
%F G.f. : 1/((1-4x)(1-x)^5); a(n)=4^(n + 5)/243-(27n^4+414n^3+2385n^2+6198n+6248)/1944; a(n)=sum{k=0..n, binomial(n+5, k+5)3^k}.
%K easy,nonn
%O 0,2
%A _Paul Barry_, Aug 24 2004
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