|
%I #8 Dec 27 2017 01:34:53
%S 1,48,1600,46080,1232896,31653888,792985600,19566428160,478167433216,
%T 11613323132928,280917704704000,6777200695050240,163215697915150336,
%U 3926183399462535168,94372512377130188800
%N Third column of triangle A075503.
%C The e.g.f. given below is Sum_{m=0..2} A075513(3,m)*exp(8*(m+1)*x)/2!.
%F a(n) = A075503(n+3, 3) = (8^n)*S2(n+3, 3) with S2(n, m) := A008277(n, m) (Stirling2).
%F a(n) = (8^n - 8*16^n + 9*24^n)/2.
%F G.f.: 1/Product_{k=1..3} (1 - 8*k*x).
%F E.g.f.: (d^3/dx^3)(((exp(8*x)-1)/8)^3)/3! = (exp(8*x) - 8*exp(16*x) + 9*exp(24*x))/2!.
%Y Cf. A060195, A076004.
%K nonn,easy
%O 0,2
%A _Wolfdieter Lang_, Oct 02 2002
|
