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 A375807 #12 Sep 01 2024 10:14:09 %S A375807 1,3,12,69,504,4440,45720,538020,7116480,104455008,1684005120, %T A375807 29571696000,561695238720,11472451848000,250694772007680, %U A375807 5835284153899200,144124039400140800,3764378233282867200,103661897106414366720,3001493647870874956800 %N A375807 Expansion of e.g.f. 1/(1 + (log(1 - x^2))/x)^3. %F A375807 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A375798. %F A375807 a(n) = (n!/2) * Sum_{k=0..floor(n/2)} (n-2*k+2)! * |Stirling1(n-k,n-2*k)|/(n-k)!. %o A375807 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1+log(1-x^2)/x)^3)) %o A375807 (PARI) a(n) = n!*sum(k=0, n\2, (n-2*k+2)!*abs(stirling(n-k, n-2*k, 1))/(n-k)!)/2; %Y A375807 Cf. A375798, A375806. %Y A375807 Cf. A375681. %K A375807 nonn %O A375807 0,2 %A A375807 _Seiichi Manyama_, Aug 29 2024