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 A375953 #8 Sep 03 2024 12:14:31 %S A375953 1,5,40,430,5770,92590,1726940,36682200,873793620,23061929940, %T A375953 667868085360,21052931727240,717531427466280,26289935772108120, %U A375953 1030422613932910800,43018144091244322560,1905711682795871222160,89284805444478025826640 %N A375953 Expansion of e.g.f. 1 / (1 + 2 * log(1 - x))^(5/2). %F A375953 a(n) = (1/3) * Sum_{k=0..n} A001147(k+2) * |Stirling1(n,k)|. %t A375953 nmax=17; CoefficientList[Series[1 / (1 + 2 * Log[1 - x])^(5/2),{x,0,nmax}],x]*Range[0,nmax]! (* _Stefano Spezia_, Sep 03 2024 *) %o A375953 (PARI) a001147(n) = prod(k=0, n-1, 2*k+1); %o A375953 a(n) = sum(k=0, n, a001147(k+2)*abs(stirling(n, k, 1)))/3; %Y A375953 Cf. A088500, A367474, A367475, A375945. %Y A375953 Cf. A001147. %K A375953 nonn %O A375953 0,2 %A A375953 _Seiichi Manyama_, Sep 03 2024