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 A377744 #10 Nov 06 2024 04:37:53 %S A377744 1,5,69,1741,65025,3238401,202252549,15216086789,1340493558497, %T A377744 135418524663457,15436319894361141,1960277599669850517, %U A377744 274474966233168968353,42012725272366653895169,6979546631782182590117189,1250777360824265136694022341,240516661686854988775792192833 %N A377744 E.g.f. satisfies A(x) = exp(x) / (1 - x * A(x))^4. %F A377744 a(n) = n! * Sum_{k=0..n} (k+1)^(n-k-1) * binomial(5*k+3,k)/(n-k)!. %o A377744 (PARI) a(n) = n!*sum(k=0, n, (k+1)^(n-k-1)*binomial(5*k+3, k)/(n-k)!); %Y A377744 Cf. A194471, A377742, A377743. %Y A377744 Cf. A377528. %K A377744 nonn %O A377744 0,2 %A A377744 _Seiichi Manyama_, Nov 06 2024