A334854 - OEIS

A334854

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

1, 2, 7, 32, 149, 240, -12725, -378880, -8550135, -178474240, -3550577425, -65428992000, -985800819875, -4641229465600, 548638404441075, 36708748623872000, 1716785996161588625, 69798035394846720000, 2571598453132219756375, 84313566554397999104000

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..20.

FORMULA

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

MATHEMATICA

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

CROSSREFS

Cf. A227464, A227466.

Sequence in context: A344130 A327214 A334855 * A047850 A201373 A168494

Adjacent sequences: A334851 A334852 A334853 * A334855 A334856 A334857

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, May 13 2020

STATUS

approved