%I #16 Feb 19 2024 04:55:06
%S 1,9,40,130,355,871,1994,4360,9245,19205,39356,79934,161415,324755,
%T 651870,1306596,2616609,5237265,10479280,20964090,41934571,83876479,
%U 167761330,335532160,671075045,1342162141,2684337764,5368690550
%N Antidiagonal sums of the convolution array A213756.
%H Clark Kimberling, <a href="/A213758/b213758.txt">Table of n, a(n) for n = 1..100</a>
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (6,-14,16,-9,2).
%F a(n) = (1/6)*(-120 + 15*2^(n+3) - 81*n - 21*n^2 - 4*n^3).
%F a(n) = 6*a(n-1) - 14*a(n-2) + 16*a(n-3) - 9*a(n-4) + 2*a(n-5).
%F G.f.: f(x)/g(x), where f(x) = x*(1 + 3*x) and g(x) = (1 - 2*x)*(1 - x)^4.
%t (See A213756.)
%Y Cf. A213756, A213500.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 20 2012
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