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 A379038 #7 Dec 14 2024 09:15:54 %S A379038 1,6,39,320,2907,28152,284907,2977116,31875708,347884085,3855802689, %T A379038 43283239650,491083601338,5622489637407,64877058557079, %U A379038 753705528179424,8808460811302728,103487549564845200,1221565052783161763,14480208437556590346,172299129911222223324 %N A379038 G.f. A(x) satisfies A(x) = ( (1 + x) * (1 + x*A(x)^(4/3)) )^3. %F A379038 G.f.: A(x) = B(x)^3 where B(x) is the g.f. of A364337. %F A379038 a(n) = 3 * Sum_{k=0..n} binomial(4*k+3,k) * binomial(4*k+3,n-k)/(4*k+3). %o A379038 (PARI) a(n) = 3*sum(k=0, n, binomial(4*k+3, k)*binomial(4*k+3, n-k)/(4*k+3)); %Y A379038 Cf. A364337, A379039. %K A379038 nonn %O A379038 0,2 %A A379038 _Seiichi Manyama_, Dec 14 2024