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 A365702 #10 Sep 16 2023 10:43:44 %S A365702 1,0,0,0,0,1,1,1,1,1,6,12,19,27,36,81,177,341,592,951,1726,3417,6766, %T A365702 12812,22951,41531,78222,151291,291957,550015,1024683,1924543,3671017, %U A365702 7063893,13532120,25730347,48840523,93154161,178806493,343926597,660308308,1265195467 %N A365702 G.f. satisfies A(x) = 1 + x^5*A(x)^5 / (1 - x*A(x)). %F A365702 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/5)} binomial(n-4*k-1,n-5*k) * binomial(n+1,k). %o A365702 (PARI) a(n) = sum(k=0, n\5, binomial(n-4*k-1, n-5*k)*binomial(n+1, k))/(n+1); %Y A365702 Cf. A212364, A365698, A365699, A365700, A365701. %Y A365702 Cf. A000108, A005043, A114997, A215341. %K A365702 nonn %O A365702 0,11 %A A365702 _Seiichi Manyama_, Sep 16 2023