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 A367017 #8 Nov 01 2023 09:57:41 %S A367017 1,1,4,25,185,1495,12776,113534,1038535,9713905,92480570,893215584, %T A367017 8730601596,86198356180,858388634250,8611765147660,86958794304735, %U A367017 883103159075400,9013769253136005,92419535419392485,951446700812718515,9831013564639954705 %N A367017 G.f. satisfies A(x) = 1 + x*A(x)^5*(1 - x). %F A367017 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(k,n-k) * A002294(k). %o A367017 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(k, n-k)*binomial(5*k, k)/(4*k+1)); %Y A367017 Cf. A200753, A367016. %Y A367017 Cf. A002294, A365184. %K A367017 nonn %O A367017 0,3 %A A367017 _Seiichi Manyama_, Nov 01 2023