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 A365847 #16 Sep 20 2023 10:00:37 %S A365847 1,8,96,1368,21440,356968,6197408,110947768,2033381760,37963483592, %T A365847 719495148768,13806129179928,267693334199616,5236670783633960, %U A365847 103227182363423008,2048451544990578552,40888361539777714944,820400146864231266184 %N A365847 Expansion of (1/x) * Series_Reversion( x*(1-x)^4/(1+x)^4 ). %F A365847 a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(4*n+k+3,k) * binomial(4*(n+1),n-k). %F A365847 Conjecture: g.f.: B^4, where B is the g.f. of A260332. %o A365847 (PARI) a(n) = sum(k=0, n, binomial(4*n+k+3, k)*binomial(4*(n+1), n-k))/(n+1); %Y A365847 Cf. A066357, A365754, A365846, A365848. %Y A365847 Cf. A032349, A365622, A365843. %Y A365847 Cf. A260332. %K A365847 nonn %O A365847 0,2 %A A365847 _Seiichi Manyama_, Sep 20 2023