This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A081133 #19 Sep 08 2022 08:45:09 %S A081133 1,3,24,270,3840,65625,1306368,29647548,754974720,21308126895, %T A081133 660000000000,22254310307658,811365140791296,31801886192186565, %U A081133 1333440819066961920,59553569091796875000,2822351843277561397248 %N A081133 a(n) = n^n*binomial(n+2, 2). %C A081133 A diagonal of A081130. %H A081133 Vincenzo Librandi, <a href="/A081133/b081133.txt">Table of n, a(n) for n = 0..100</a> %F A081133 a(n) = n^n*(n+1)*(n+2)/2. %p A081133 seq(n^n*binomial(n+2,2), n=0..20); # _G. C. Greubel_, May 18 2021 %t A081133 Join[{1},Table[n^n Binomial[n+2,2],{n,20}]] (* _Harvey P. Dale_, Dec 27 2011 *) %o A081133 (Magma) [(n^n*Binomial(n+2,2)): n in [0..20]]; // _Vincenzo Librandi_, Sep 22 2011 %o A081133 (Sage) [n^n*binomial(n+2,2) for n in (0..20)] # _G. C. Greubel_, May 18 2021 %Y A081133 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). %K A081133 nonn,easy %O A081133 0,2 %A A081133 _Paul Barry_, Mar 08 2003