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 A373526 #19 Jun 10 2024 10:03:42 %S A373526 1,1,1,1,1,91,541,1891,5041,-22679,703081,9397081,59946481,510926131, %T A373526 -1770628859,28435376971,879567081121,1118967005521,133425791669521, %U A373526 -153681150137039,1206979480409761,974131304609110411,-2730300052811686739,68047061689139820211 %N A373526 Expansion of e.g.f. exp(x * (1 + x^4)^(3/4)). %F A373526 a(n) = n! * Sum_{k=0..floor(n/4)} binomial(3*n/4-3*k,k)/(n-4*k)!. %F A373526 a(n) == 1 mod 90. %o A373526 (PARI) a(n) = n!*sum(k=0, n\4, binomial(3*n/4-3*k, k)/(n-4*k)!); %Y A373526 Cf. A190877, A373524, A373525. %Y A373526 Cf. A373521. %K A373526 sign %O A373526 0,6 %A A373526 _Seiichi Manyama_, Jun 08 2024