A081196 a(n) = (n+4)^n*binomial(n+2,2).

1, 15, 216, 3430, 61440, 1240029, 28000000, 701538156, 19349176320, 583247465515, 19090807228416, 674680957031250, 25614222880669696, 1039980693455123385, 44977604109849722880, 2064633276062972568664

Offset: 0

Author

Paul Barry, Mar 11 2003

Keywords

• nonn
• easy

Comments

Diagonal of A081130.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200

Crossrefs

Sequences of the form (n+m)^n*binomial(n+2,2): A081133 (m=0), A081132 (m=1), A081131 (m=2), A053507 (m=3), this sequence (m=4).

Programs

Magma

[(n+4)^n*Binomial(n+2,2): n in [0..20]]; // Vincenzo Librandi, Aug 07 2013

Maple

seq((n+4)^n*binomial(n+2,2), n=0..20); # G. C. Greubel, May 18 2021

Mathematica

Table[(n+4)^n Binomial[n+2, 2], {n, 0, 30}] (* Vincenzo Librandi, Aug 07 2013 *)

Sage

[(n+4)^n*binomial(n+2,2) for n in (0..20)] # G. C. Greubel, May 18 2021

Formula

a(n) = (n+4)^n*binomial(n+2,2).