%I #4 Mar 31 2012 13:20:04
%S 1,7,53,318,1784,9288,46233,221859,1036585,4742650,21350264,94895016,
%T 417562385,1822824255,7907350365,34130697462,146735898760,
%U 628870859320,2688466352825,11470754475675,48865641344081,207913415718642
%N Fourth column sequence of triangle A056588.
%F a(n)= A056588(n+3, 3), n >= 0.
%F a(n)= 3^(n+4)-F(n+5)*2^(n+4)+(F(n+3)-2)*F(n+5)*F(n+4)/2; F(n)=A000045(n) (Fibonacci).
%F G.f.:(1-3*x+8*x^2-3*x^3-3*x^4-4*x^5)/((1+x)*(1-3*x)*(1+x-x^2)*(1-2*x-4*x^2)*(1-3*x+x^2)*(1-4*x-x^2)).
%Y Cf. A000045, A056588, A000012, A000071, A056589.
%K nonn,easy
%O 0,2
%A _Wolfdieter Lang_ Jul 10 2000