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 A371724 #9 Apr 04 2024 15:40:01 %S A371724 1,3,9,31,117,468,1949,8361,36693,163956,743388,3411576,15816609, %T A371724 73967637,348517539,1652896367,7884305829,37800279504,182055056428, %U A371724 880410972156,4273376488956,20811901707192,101666716335912,498035242836144,2446003588237193,12041562653655453 %N A371724 G.f. satisfies A(x) = ( 1 + x * A(x)^(1/3) * (1 + A(x)) )^(3/2). %F A371724 G.f.: B(x)^3 where B(x) is the g.f. of A106228. %F A371724 a(n) = Sum_{k=0..n} binomial(n,k) * binomial(n/2+3*k/2+3/2,n)/(n/3+k+1). %o A371724 (PARI) a(n) = sum(k=0, n, binomial(n, k)*binomial(n/2+3*k/2+3/2, n)/(n/3+k+1)); %Y A371724 Cf. A106228, A262441, A370891. %Y A371724 Cf. A371725. %K A371724 nonn %O A371724 0,2 %A A371724 _Seiichi Manyama_, Apr 04 2024