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%I #17 Feb 19 2024 03:01:43
%S 1,8,31,90,225,516,1123,2366,4885,9960,20151,40578,81481,163340,
%T 327115,654726,1310013,2620656,5242015,10484810,20970481,41941908,
%U 83884851,167770830,335542885,671087096,1342175623,2684352786
%N Antidiagonal sums of the convolution array A213762.
%H Clark Kimberling, <a href="/A213764/b213764.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (5,-9,7,-2).
%F a(n) = -10 + 5*2^(n+1) - 7*n - 2*n^2.
%F a(n) = 5*a(n-1) - 9*a(n-2) + 7*a(n-3) - 2*a(n-4).
%F G.f.: f(x)/g(x), where f(x) = x*(1 + 3*x) and g(x) = (1 - 2*x)*(1 - x)^3.
%t (See A213762.)
%t LinearRecurrence[{5,-9,7,-2},{1,8,31,90},30] (* _Harvey P. Dale_, Jan 27 2016 *)
%Y Cf. A213762, A213500.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 20 2012