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 A371723 #9 Apr 04 2024 15:40:15 %S A371723 1,4,18,100,623,4156,29032,209656,1552535,11724904,89958000,699213444, %T A371723 5494103979,43570067100,348274269966,2803139823512,22698137859554, %U A371723 184779492011244,1511406790180350,12415340284461312,102377122022648745,847144310799588732 %N A371723 G.f. satisfies A(x) = ( 1 + x * A(x)^(1/4) * (1 + A(x)^(5/4)) )^2. %F A371723 G.f.: B(x)^4 where B(x) is the g.f. of A370472. %F A371723 a(n) = 2 * Sum_{k=0..n} binomial(n,k) * binomial(n/2+5*k/2+2,n)/(n/2+5*k/2+2). %o A371723 (PARI) a(n) = 2*sum(k=0, n, binomial(n, k)*binomial(n/2+5*k/2+2, n)/(n/2+5*k/2+2)); %Y A371723 Cf. A000292, A370891. %Y A371723 Cf. A370471, A370472, A371725. %K A371723 nonn %O A371723 0,2 %A A371723 _Seiichi Manyama_, Apr 04 2024