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 A379255 #7 Dec 19 2024 10:09:52 %S A379255 1,6,90,1910,47250,1274406,36344906,1077809718,32899427106, %T A379255 1026823733702,32619190553274,1051205539768566,34282637873690290, %U A379255 1129326395659189734,37522172645425790634,1255954522404101871286,42312438228338307500610,1433621819994034883749254 %N A379255 G.f. A(x) satisfies A(x) = ( (1 + x*A(x))/(1 - x*A(x)^3) )^3. %F A379255 G.f.: B(x)^3 where B(x) is the g.f. of A379257. %F A379255 a(n) = Sum_{k=0..n} binomial(3*n+7*k+2,k) * binomial(3*n+6*k+3,n-k)/(n+2*k+1). %o A379255 (PARI) a(n) = sum(k=0, n, binomial(3*n+7*k+2, k)*binomial(3*n+6*k+3, n-k)/(n+2*k+1)); %Y A379255 Cf. A213282, A365843, A379254. %Y A379255 Cf. A379257. %K A379255 nonn %O A379255 0,2 %A A379255 _Seiichi Manyama_, Dec 19 2024