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Expansion of e.g.f. (1 + 3 * log(1 - x))^(5/3).
1

%I #8 Sep 05 2024 08:08:08

%S 1,-5,5,30,180,1410,14790,203880,3559560,75659760,1893764160,

%T 54430097760,1763357958000,63501756552720,2514747808468080,

%U 108572621062573440,5074353268651935360,255201626973301102080,13740802156877800538880,788580746923723472839680

%N Expansion of e.g.f. (1 + 3 * log(1 - x))^(5/3).

%F a(n) = Sum_{k=0..n} (Product_{j=0..k-1} (3*j-5)) * |Stirling1(n,k)|.

%o (PARI) a(n) = sum(k=0, n, prod(j=0, k-1, 3*j-5)*abs(stirling(n, k, 1)));

%Y Cf. A354263, A365575, A375946, A375951, A375988.

%K sign,easy

%O 0,2

%A _Seiichi Manyama_, Sep 05 2024