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%I #18 Jul 10 2019 12:10:37
%S 1,8,30,81,184,376,717,1304,2294,3941,6656,11104,18361,30168,49342,
%T 80441,130840,212472,344645,558600,904886,1465293,2372160,3839616,
%U 6214129,10056296,16273182,26332449,42608824,68944696,111557181
%N Antidiagonal sums of the convolution array A213774.
%H Clark Kimberling, <a href="/A213776/b213776.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (4,-5,1,2,-1).
%F a(n) = 4*a(n-1) - 5*a(n-2) + a(n-3) + 2*a(n-4) - a(n-5).
%F G.f.: f(x)/g(x), where f(x) = x*(1 + 4*x + 3*x^2) and g(x) = (1 - x - x^2)*(1 - x)^3.
%F a(n) = 6*Fibonacci(n+6) - Lucas(n+5) - 2*n*(2*n+9) - 37. - _Ehren Metcalfe_, Jul 10 2019
%t (See A213774.)
%Y Cf. A213774, A213500.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 21 2012
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