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

0,2

Comments

Diagonal of A081130.

Links

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

Formula

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

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 *)

Prog

(Magma) [(n+4)^n*Binomial(n+2, 2): n in [0..20]]; // Vincenzo Librandi, Aug 07 2013
(Sage) [(n+4)^n*binomial(n+2, 2) for n in (0..20)] # G. C. Greubel, May 18 2021

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).

Sequence in context: A201340 A051826 A351515 * A020287 A152272 A091644

Adjacent sequences: A081193 A081194 A081195 * A081197 A081198 A081199

Keyword

nonn,easy

Author

Paul Barry, Mar 11 2003

Status

approved