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 A375167 #62 Aug 19 2024 12:15:02
%S A375167 1,0,0,3,0,15,180,210,5040,51030,207900,3991680,42411600,356756400,
%T A375167 6485398920,80635054500,1040690851200,19440077857200,291313362740400,
%U A375167 4914773560897200,98182334033784000,1763213788027692000,35636304386103220800,778379605589616030000
%N A375167 Expansion of e.g.f. 1 / (1 + x * log(1 - x^2/2)).
%F A375167 a(n) = n! * Sum_{k=0..floor(n/2)} (n-2*k)! * |Stirling1(k,n-2*k)|/(2^k*k!).
%o A375167 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+x*log(1-x^2/2))))
%o A375167 (PARI) a(n) = n!*sum(k=0, n\2, (n-2*k)!*abs(stirling(k, n-2*k, 1))/(2^k*k!));
%Y A375167 Cf. A052830, A375556, A375558.
%Y A375167 Cf. A351155.
%K A375167 nonn
%O A375167 0,4
%A A375167 _Seiichi Manyama_, Aug 19 2024