A081133 a(n) = n^n*binomial(n+2, 2).

1, 3, 24, 270, 3840, 65625, 1306368, 29647548, 754974720, 21308126895, 660000000000, 22254310307658, 811365140791296, 31801886192186565, 1333440819066961920, 59553569091796875000, 2822351843277561397248

Offset: 0

Author

Paul Barry, Mar 08 2003

Keywords

• nonn
• easy

Comments

A diagonal of A081130.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..100

Crossrefs

Sequences of the form (n+m)^n*binomial(n+2,2): this sequence (m=0), A081132 (m=1), A081131 (m=2), A053507 (m=3), A081196 (m=4).

Programs

Magma

[(n^n*Binomial(n+2,2)): n in [0..20]]; // Vincenzo Librandi, Sep 22 2011

Maple

seq(n^n*binomial(n+2,2), n=0..20); # G. C. Greubel, May 18 2021

Mathematica

Join[{1},Table[n^n Binomial[n+2,2],{n,20}]] (* Harvey P. Dale, Dec 27 2011 *)

Sage

[n^n*binomial(n+2,2) for n in (0..20)] # G. C. Greubel, May 18 2021

Formula

a(n) = n^n*(n+1)*(n+2)/2.