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 A083082 #12 Sep 08 2022 08:45:10
%S A083082 1,5,61,1065,23801,650893,21120373,794552657,34040573425,
%T A083082 1637411510421,87420145670573,5131440522974329,328542298690792681,
%U A083082 22789709877615373085,1702810951672313083621,136361486383932674632353
%N A083082 First subdiagonal of number array A083075.
%H A083082 Vincenzo Librandi, <a href="/A083082/b083082.txt">Table of n, a(n) for n = 0..300</a>
%F A083082 a(n) = ((n+1)*(2n+5)^n + 1)/(n+2).
%t A083082 Table[((n+1)(2n+5)^n+1)/(n+2),{n,0,20}] (* _Harvey P. Dale_, Oct 06 2019 *)
%o A083082 (Magma) [((n+1)*(2*n+5)^n+1)/(n+2): n in [0..20]]; // _Vincenzo Librandi_, Nov 12 2011
%Y A083082 Cf. A083080, A083083.
%K A083082 easy,nonn
%O A083082 0,2
%A A083082 _Paul Barry_, Apr 23 2003