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 A365184 #15 Nov 01 2023 10:00:58 %S A365184 1,1,6,45,395,3775,38146,400826,4335455,47951065,539823620,6165377836, %T A365184 71261299056,831990025420,9797505040130,116235417614900, %U A365184 1387958781395535,16668362761081560,201190667288072005,2439418470063468505,29698136499328762445 %N A365184 G.f. satisfies A(x) = 1 + x*A(x)^5*(1 + x). %H A365184 Seiichi Manyama, <a href="/A365184/b365184.txt">Table of n, a(n) for n = 0..898</a> %F A365184 a(n) = Sum_{k=0..n} binomial(5*k+1,k) * binomial(k,n-k)/(5*k+1) = Sum_{k=0..n} binomial(k,n-k) * A002294(k). %o A365184 (PARI) a(n) = sum(k=0, n, binomial(k, n-k)*binomial(5*k, k)/(4*k+1)); %Y A365184 Cf. A002295, A365185, A365186, A365187, A365188, A365189. %Y A365184 Cf. A364475, A365178. %Y A365184 Cf. A002294, A349332. %K A365184 nonn %O A365184 0,3 %A A365184 _Seiichi Manyama_, Aug 25 2023