A075515 Fifth column of triangle A075498.

1, 45, 1260, 28350, 563031, 10333575, 179866170, 3016747800, 49263275061, 788796913905, 12445575859080, 194186867360850, 3004103990159091, 46168557763591035, 705914973500103990, 10750288516418083500

Offset

0,2

Comments

The e.g.f. given below is Sum_{m=0..4} A075513(5,m)*exp(3*(m+1)*x)/4!.

Links

Table of n, a(n) for n=0..15.

Formula

a(n) = A075498(n+5, 5) = (3^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) (Stirling2).

a(n) = Sum_{m=0..4} A075513(5, m)*exp((m+1)*3)^n/4!.

G.f.: 1/Product_{k=1..5} (1 - 3*k*x).

E.g.f.: (d^5/dx^5)(((exp(3*x)-1)/3)^5)/5! = (exp(3*x) - 64*exp(6*x) + 486*exp(9*x) - 1024*exp(12*x) + 625*exp(15*x))/4!.

Crossrefs

Cf. A028085, A075516.

Sequence in context: A173000 A004350 A199518 * A330389 A346324 A243570

Adjacent sequences: A075512 A075513 A075514 * A075516 A075517 A075518

Keyword

nonn,easy

Author

Wolfdieter Lang, Oct 02 2002

Status

approved