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 A365188 #9 Aug 25 2023 09:43:52 %S A365188 1,1,6,49,465,4807,52533,596936,6981798,83497115,1016367737, %T A365188 12550853210,156845913315,1979870172453,25207383853375, %U A365188 323325558146400,4174108907656633,54195445136831670,707225283913589280,9270735916525207605,122020617365557674605 %N A365188 G.f. satisfies A(x) = 1 + x*A(x)^5*(1 + x*A(x)^4). %F A365188 a(n) = Sum_{k=0..n} binomial(4*n+k+1,k) * binomial(k,n-k)/(4*n+k+1). %o A365188 (PARI) a(n) = sum(k=0, n, binomial(4*n+k+1, k)*binomial(k, n-k)/(4*n+k+1)); %Y A365188 Cf. A002295, A365184, A365185, A365186, A365187, A365189. %Y A365188 Cf. A243667. %K A365188 nonn %O A365188 0,3 %A A365188 _Seiichi Manyama_, Aug 25 2023