A075510 Fifth column of triangle A075497.

1, 30, 560, 8400, 111216, 1360800, 15790720, 176563200, 1922176256, 20518417920, 215825326080, 2244998246400, 23153670762496, 237224718704640, 2418102840688640, 24549985173504000, 248464183682727936

Offset

0,2

Comments

The e.g.f. given below is Sum_{m=0..4} A075513(5,m)*exp(2*(m+1)*x)/4!.

Links

Table of n, a(n) for n=0..16.

Formula

a(n) = A075497(n+5, 5) = (2^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) (Stirling2).

a(n) = (2^n - 64*4^n + 486*6^n - 1024*8^n + 625*10^n)/4!.

G.f.: 1/((1-2*x)*(1-4*x)*(1-6*x)*(1-8*x)*(1-10*x)).

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!.

Crossrefs

Cf. A025966, A075511.

Sequence in context: A037961 A143399 A293103 * A285168 A028200 A028181

Adjacent sequences: A075507 A075508 A075509 * A075511 A075512 A075513

Keyword

nonn,easy

Author

Wolfdieter Lang, Oct 02 2002

Status

approved