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%I #8 Jul 24 2018 21:24:19
%S 1,12,166,1784,17840,163504,1418549,11751784,94002810,730859800,
%T 5554472496,41437244784,304478259625,2209596042260,15871463933950,
%U 113044318064744,799558820643440,5622796403700080,39354459839661725
%N Fifth column sequence of triangle A056588.
%H Robert Israel, <a href="/A056591/b056591.txt">Table of n, a(n) for n = 0..1193</a>
%F a(n)= A056588(n+4, 4), n >= 0.
%F a(n)=5^(n+5)-3^(n+5)*F(n+6)-Fibonomial(n+6, 2)*2^(n+5)+Fibonomial(n+6, 3)+Fibonomial(n+6, 4); F(n)=A000045(n) (Fibonacci); Fibonomial(n, m) := A010048(n, m).
%F G.f.: (72*x^9-142*x^8+276*x^7+473*x^6-112*x^5-78*x^3+46*x^2-8*x+1)/((1-x)*(1+2*x)*(1-5*x)*(1+x-x^2)*(1+3*x+x^2)*(1-3*x-9*x^2)*(1-4*x-x^2)*(1-6*x+4*x^2) *(1-7*x+x^2)).
%p g:= (72*x^9-142*x^8+276*x^7+473*x^6-112*x^5-78*x^3+46*x^2-8*x+1)/((1-x)*(1+2*x)*(1-5*x)*(1+x-x^2)*(1+3*x+x^2)*(1-3*x-9*x^2)*(1-4*x-x^2)*(1-6*x+4*x^2) *(1-7*x+x^2)):
%p S:= series(g,x,21):
%p seq(coeff(S,x,i),i=0..20); # _Robert Israel_, Jul 24 2018
%Y Cf. A000045, A056588, A010048, A000012, A000071, A056589, A056590.
%K nonn,easy
%O 0,2
%A _Wolfdieter Lang_ Jul 10 2000
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