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Product_{n>=1} (1 + a(n)*x^n/n!) = 1 + log(1 + x).
6

%I #6 Oct 08 2021 03:46:29

%S 1,-1,5,-26,204,-1434,16862,-166536,2377512,-29870400,558727872,

%T -8542202976,185546362416,-3332732184768,82441247589360,

%U -1824937537167744,50908186083448320,-1214743725939310848,38998680958184088960,-1084067907183602910720,36452994894649858339584

%N Product_{n>=1} (1 + a(n)*x^n/n!) = 1 + log(1 + x).

%F Product_{n>=1} (1 + a(n)*x^n/n!) = 1 - Sum_{n>=1} (-x)^n/n.

%Y Cf. A006973, A137852, A157159, A157164, A348205, A348207.

%K sign

%O 1,3

%A _Ilya Gutkovskiy_, Oct 06 2021