A334856 E.g.f. A(x) satisfies: A(x) = sin(x * exp(A(x))).

1, 2, 8, 48, 376, 3552, 38072, 433664, 4677184, 29762560, -793410432, -54950522880, -2386117894016, -93904016252928, -3620999060747776, -140559707495727104, -5551125947636719616, -223832352597495644160, -9212210790951194357760, -385841470335205512314880

Offset: 1

Author

Ilya Gutkovskiy, May 13 2020

Keywords

• sign

Crossrefs

Cf. A227463, A227465.

Programs

Mathematica

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

Formula

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