A334856 - OEIS

%I #4 May 13 2020 19:00:26

%S 1,2,8,48,376,3552,38072,433664,4677184,29762560,-793410432,

%T -54950522880,-2386117894016,-93904016252928,-3620999060747776,

%U -140559707495727104,-5551125947636719616,-223832352597495644160,-9212210790951194357760,-385841470335205512314880

%N E.g.f. A(x) satisfies: A(x) = sin(x * exp(A(x))).

%F E.g.f.: series reversion of arcsin(x) / exp(x).

%t nmax = 20; CoefficientList[InverseSeries[Series[ArcSin[x]/Exp[x], {x, 0, nmax}], x], x] Range[0, nmax]! // Rest

%Y Cf. A227463, A227465.

%K sign

%O 1,2

%A _Ilya Gutkovskiy_, May 13 2020