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%I #16 Feb 19 2024 02:47:52
%S 1,5,24,83,263,776,2201,6077,16488,44211,117615,311232,820641,2158645,
%T 5669096,14872483,38989367,102165928,267628569,700924525,1835493016,
%U 4806144675,12583939679,32947361088,86260987393,225840387941
%N Principal diagonal of the convolution array A213765.
%H Clark Kimberling, <a href="/A213766/b213766.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (5,-6,-3,6,1,-1).
%F a(n) = 5*a(n-1) - 6*a(n-2) - 3*a(n-3) + 6*a(n-4) + a(n-5) - a(n-6).
%F G.f.: f(x)/g(x), where f(x) = x*(1 + 5*x - 10*x^2) and g(x) = (1 - 3*x + 2*x^2 )^2.
%t (See A213765.)
%Y Cf. A213765, A213500.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 21 2012
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