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 A375987 #13 Sep 06 2024 04:44:46 %S A375987 1,-3,0,6,42,318,2892,31944,424596,6682740,122318928,2559121128, %T A375987 60275236392,1577894836248,45427570253712,1425885338250432, %U A375987 48443767097018256,1770703320887526096,69273368628184075392,2887794188011931364576,127778992241790634125984 %N A375987 Expansion of e.g.f. (1 + 2 * log(1 - x))^(3/2). %F A375987 a(n) = Sum_{k=0..n} (Product_{j=0..k-1} (2*j-3)) * |Stirling1(n,k)|. %p A375987 A375987 := proc(n) %p A375987 add(mul(2*j-3,j=0..k-1)*abs(stirling1(n,k)),k=0..n) ; %p A375987 end proc: %p A375987 seq(A375987(n),n=0..30) ; # _R. J. Mathar_, Sep 06 2024 %o A375987 (PARI) a(n) = sum(k=0, n, prod(j=0, k-1, 2*j-3)*abs(stirling(n, k, 1))); %Y A375987 Cf. A088500, A367474, A375945, A375953, A375990. %K A375987 sign,easy %O A375987 0,2 %A A375987 _Seiichi Manyama_, Sep 05 2024