%I #8 Jan 01 2018 04:22:16
%S 1,30,560,8400,111216,1360800,15790720,176563200,1922176256,
%T 20518417920,215825326080,2244998246400,23153670762496,
%U 237224718704640,2418102840688640,24549985173504000,248464183682727936
%N Fifth column of triangle A075497.
%C The e.g.f. given below is Sum_{m=0..4} A075513(5,m)*exp(2*(m+1)*x)/4!.
%F a(n) = A075497(n+5, 5) = (2^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) (Stirling2).
%F a(n) = (2^n - 64*4^n + 486*6^n - 1024*8^n + 625*10^n)/4!.
%F G.f.: 1/((1-2*x)*(1-4*x)*(1-6*x)*(1-8*x)*(1-10*x)).
%F E.g.f.: (d^5/dx^5)(((exp(2*x)-1)/2)^5)/5! = (exp(2*x) - 64*exp(4*x) + 486*exp(6*x) - 1024*exp(8*x) + 625*exp(10*x))/4!.
%Y Cf. A025966, A075511.
%K nonn,easy
%O 0,2
%A _Wolfdieter Lang_, Oct 02 2002