Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #11 Sep 05 2024 08:07:43
%S 1,-3,0,9,45,252,1935,19989,260190,4063887,73823445,1527002694,
%T 35408499885,909389617497,25618701424680,785355764569749,
%U 26024092206299505,926859918577582332,35306305954587340515,1432301360556686816529,61649353087003554947550
%N Expansion of e.g.f. (3 - 2 * exp(x))^(3/2).
%F a(n) = Sum_{k=0..n} (Product_{j=0..k-1} (2*j-3)) * Stirling2(n,k).
%o (PARI) a(n) = sum(k=0, n, prod(j=0, k-1, 2*j-3)*stirling(n, k, 2));
%Y Cf. A004123, A305404, A367470, A375948, A375954.
%Y Cf. A006681.
%K sign,easy
%O 0,2
%A _Seiichi Manyama_, Sep 05 2024