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 A091759 #14 May 09 2021 06:21:46 %S A091759 1,2,4,26,208,2222,29412,466034,8609344,181818182,4322904100, %T A091759 114308980106,3328297874640,105828636433886,3649115753173828, %U A091759 135637824071393762,5406799097296318720,230095953656704898102 %N A091759 a(n) = 0^n + 2((n+1)^n - (-1)^n) / (n+2). %F A091759 a(n) = P(n, n-2, n) where P(n, m, z) = Product_{j=0..n-1} (z - Sum_{k=1..m} e^(j*k*2*Pi*I/n)), I=sqrt(-1). %p A091759 seq(0^n + 2*((n+1)^n-(-1)^n)/(n+2),n=0..20); # _Georg Fischer_, May 08 2021 %t A091759 P[n_,m_,z_]:= Product[z - Sum[E^(j*k*2*pi*I/n), {k,1,m}], {j,0,n-1}]; %t A091759 Table[FullSimplify[P[n,n-2,n]], {n,0,12}] (* _Georg Fischer_, May 08 2021 *) %o A091759 (PARI) a(n) = 0^n + 2*((n+1)^n - (-1)^n) / (n+2); \\ _Michel Marcus_, May 09 2021 %Y A091759 Cf. A083063. %K A091759 easy,nonn %O A091759 0,2 %A A091759 _Paul Barry_, Feb 03 2004