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 A379674 #30 Jan 23 2025 08:31:44 %S A379674 0,0,0,0,1,10,85,735,6804,68544,754130,9044750,117779431,1657347978, %T A379674 25083122701,406495546275,7025691638029,129034238530984, %U A379674 2510053743368448,51563288466007704,1115617292385725186,25359995212317017700,604332959567317283050,15066452630930326289950 %N A379674 Expansion of e.g.f. -log( 1 - log(1 - x)^4 / 24 ). %F A379674 a(n) = Sum_{k=1..floor(n/4)} (4*k)! * |Stirling1(n,4*k)|/(k * 24^k). %F A379674 a(n) = |Stirling1(n,4)| + Sum_{k=1..n-1} |Stirling1(k,4)| * binomial(n-1,k) * a(n-k). %o A379674 (PARI) a(n) = sum(k=1, n\4, (4*k)!*abs(stirling(n, 4*k, 1))/(k*24^k)); %Y A379674 Cf. A346966, A377376, A380370. %K A379674 nonn %O A379674 0,6 %A A379674 _Seiichi Manyama_, Jan 23 2025