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 A373540 #14 Jun 10 2024 10:02:03 %S A373540 1,1,1,1,1,-29,-179,-629,-1679,52921,672841,4352041,19934641, %T A373540 -656794709,-13394641259,-130483743389,-870226287839,29354743432561, %U A373540 855880592510161,11361346027482961,101129588155349281,-3446498927212733069,-134465010284782027619 %N A373540 Expansion of e.g.f. exp(x/(1 + x^4)^(1/4)). %F A373540 a(n) = n! * Sum_{k=0..floor(n/4)} (-1)^k * binomial(n/4-1,k)/(n-4*k)!. %F A373540 a(n) == 1 mod 30. %o A373540 (PARI) a(n) = n!*sum(k=0, n\4, (-1)^k*binomial(n/4-1, k)/(n-4*k)!); %Y A373540 Cf. A012019, A373539. %Y A373540 Cf. A373519. %K A373540 sign %O A373540 0,6 %A A373540 _Seiichi Manyama_, Jun 09 2024