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 A379257 #6 Dec 19 2024 10:10:08 %S A379257 1,2,26,530,12850,342370,9684010,285483666,8675363298,269823659586, %T A379257 8547536496442,274825739078930,8945617644054546,294204116545534370, %U A379257 9761360051405903434,326339380099797219474,10982521821776648986050,371758494418806559639170 %N A379257 G.f. A(x) satisfies A(x) = 1 + x * A(x)^3 * (1 + A(x)^7). %F A379257 a(n) = Sum_{k=0..n} binomial(n,k) * binomial(3*n+7*k+1,n)/(3*n+7*k+1). %o A379257 (PARI) a(n) = sum(k=0, n, binomial(n, k)*binomial(3*n+7*k+1, n)/(3*n+7*k+1)); %Y A379257 Cf. A379256. %K A379257 nonn %O A379257 0,2 %A A379257 _Seiichi Manyama_, Dec 19 2024