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%I #12 Feb 08 2022 22:02:57
%S 1,16,96,331,842,1782,3337,5727,9207,14068,20638,29283,40408,54458,
%T 71919,93319,119229,150264,187084,230395,280950,339550,407045,484335,
%U 572371,672156,784746,911251,1052836,1210722
%N A007318 * [1, 15, 65, 90, 31, 1, 0, 0, 0, ...].
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F Binomial transform of [1, 15, 65, 90, 31, 1, 0, 0, 0, ...] where (1, 15, 65 90, 31, 1) = row 6 of triangle A008278.
%F G.f.: x*(1+10*x+15*x^2-25*x^3-9*x^4+9*x^5)/(1-x)^6. - _Colin Barker_, Feb 01 2012
%e a(3) = 96 = (1, 2, 1) dot (1, 15, 65) = (1 + 30 + 65).
%Y Cf. A143058, A143059, A008278.
%K nonn,easy
%O 1,2
%A _Gary W. Adamson_, Jul 20 2008
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