%I #14 Sep 08 2022 08:45:09

%S 1,15,216,3430,61440,1240029,28000000,701538156,19349176320,

%T 583247465515,19090807228416,674680957031250,25614222880669696,

%U 1039980693455123385,44977604109849722880,2064633276062972568664

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

%C Diagonal of A081130.

%H Vincenzo Librandi, <a href="/A081196/b081196.txt">Table of n, a(n) for n = 0..200</a>

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

%p seq((n+4)^n*binomial(n+2,2), n=0..20); # _G. C. Greubel_, May 18 2021

%t Table[(n+4)^n Binomial[n+2, 2], {n, 0, 30}] (* _Vincenzo Librandi_, Aug 07 2013 *)

%o (Magma) [(n+4)^n*Binomial(n+2,2): n in [0..20]]; // _Vincenzo Librandi_, Aug 07 2013

%o (Sage) [(n+4)^n*binomial(n+2,2) for n in (0..20)] # _G. C. Greubel_, May 18 2021

%Y 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).

%K nonn,easy

%O 0,2

%A _Paul Barry_, Mar 11 2003