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 A366057 #10 Sep 27 2023 10:06:18 %S A366057 1,-1,1,-1,1,0,-5,20,-55,125,-246,406,-461,-144,3004,-11978,35113, %T A366057 -86293,181663,-314603,365922,150023,-2696308,10969573,-32970453, %U A366057 82976409,-178372934,314133884,-367436684,-179661091,2923282216,-11972239216,36369188841,-92517132841 %N A366057 Expansion of (1/x) * Series_Reversion( x/(1-x+x^5) ). %F A366057 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/5)} (-1)^(n-k) * binomial(n+1,k) * binomial(n-k+1,n-5*k). %o A366057 (PARI) a(n) = sum(k=0, n\5, (-1)^(n-k)*binomial(n+1, k)*binomial(n-k+1, n-5*k))/(n+1); %Y A366057 Cf. A364522, A365702, A366051. %K A366057 sign %O A366057 0,7 %A A366057 _Seiichi Manyama_, Sep 27 2023