%I A056591
%S A056591 1,12,166,1784,17840,163504,1418549,11751784,94002810,730859800,
%T A056591 5554472496,41437244784,304478259625,2209596042260,15871463933950,
%U A056591 113044318064744,799558820643440,5622796403700080,39354459839661725
%N A056591 Fifth column sequence of triangle A056588.
%F A056591 a(n)= A056588(n+4, 4), n >= 0.
%F A056591 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 A056591 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)).
%Y A056591 Cf. A000045, A056588, A010048, A000012, A000071, A056589, A056590.
%Y A056591 Sequence in context: A143583 A046174 A055760 this_sequence A099745 A079679 
               A113380
%Y A056591 Adjacent sequences: A056588 A056589 A056590 this_sequence A056592 A056593 
               A056594
%K A056591 nonn,easy
%O A056591 0,2
%A A056591 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Jul 10 2000