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 A367016 #9 Nov 01 2023 09:57:45 %S A367016 1,1,3,14,78,475,3057,20446,140702,989789,7085635,51451482,378049810, %T A367016 2805616460,20999408480,158337719608,1201585477436,9170328295222, %U A367016 70339328959266,541953619822062,4192560258116202,32552250308843605,253583917423039079 %N A367016 G.f. satisfies A(x) = 1 + x*A(x)^4*(1 - x). %F A367016 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(k,n-k) * A002293(k). %o A367016 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(k, n-k)*binomial(4*k, k)/(3*k+1)); %Y A367016 Cf. A200753, A367017. %Y A367016 Cf. A002293, A365178. %K A367016 nonn %O A367016 0,3 %A A367016 _Seiichi Manyama_, Nov 01 2023