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 A366024 #13 Sep 26 2023 12:47:53 %S A366024 1,1,2,5,14,41,125,393,1265,4147,13799,46488,158261,543610,1881730, %T A366024 6557818,22990323,81026013,286915275,1020294605,3642192301, %U A366024 13047053600,46885795710,168979132425,610640337099,2212116899436,8031940264223,29224761233788 %N A366024 Expansion of (1/x) * Series_Reversion( x*(1-x)*(1+x^5) ). %F A366024 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/5)} (-1)^k * binomial(n+k,n) * binomial(2*n-5*k,n). %t A366024 CoefficientList[InverseSeries[Series[x(1-x)(1+x^5),{x,0,28}],x]/x,x] (* _Stefano Spezia_, Sep 26 2023 *) %o A366024 (PARI) a(n) = sum(k=0, n\5, (-1)^k*binomial(n+k, n)*binomial(2*n-5*k, n))/(n+1); %Y A366024 Cf. A063019, A063026, A366023. %K A366024 nonn %O A366024 0,3 %A A366024 _Seiichi Manyama_, Sep 26 2023