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 A385606 #8 Jul 04 2025 10:04:51
%S A385606 1,1,1,121,721,2521,120121,1262521,7514641,200655841,2804296441,
%T A385606 23211542641,443673670441,7070369866561,73192033638361,
%U A385606 1173608444069881,19482750854113681,235115468646608881,3483568444035458401,57574418930692099801,769737183831483390601,11118980118960559362001
%N A385606 Diagonal of the rational function 1/(1 - (v^3 + w^3 + x^3 + y^3 + z^3 + v*w*x*y*z)).
%F A385606 a(n) = Sum_{k=0..floor(n/3)} (n+2*k)!/(k!^5 * (n-3*k)!).
%o A385606 (PARI) a(n) = sum(k=0, n\3, (n+2*k)!/(k!^5*(n-3*k)!));
%Y A385606 Cf. A082489, A361636, A361703, A385607.
%K A385606 nonn
%O A385606 0,4
%A A385606 _Seiichi Manyama_, Jul 04 2025