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Expansion of e.g.f. (1 + 3 * log(1 - x))^(4/3).
2

%I #9 Sep 05 2024 08:08:12

%S 1,-4,0,12,108,1104,14136,225768,4386168,100885248,2683789344,

%T 81047258208,2737919298528,102266990392896,4184016413001408,

%U 186047367206499072,8933002185371731200,460580247564830138880,25378595790818821816320,1488230641037882346324480

%N Expansion of e.g.f. (1 + 3 * log(1 - x))^(4/3).

%F a(n) = Sum_{k=0..n} (Product_{j=0..k-1} (3*j-4)) * |Stirling1(n,k)|.

%o (PARI) a(n) = sum(k=0, n, prod(j=0, k-1, 3*j-4)*abs(stirling(n, k, 1)));

%Y Cf. A354263, A365575, A375946, A375951, A375989.

%K sign,easy

%O 0,2

%A _Seiichi Manyama_, Sep 05 2024