A012972 Expansion of e.g.f. log(arctan(x) + exp(x)).

0, 2, -3, 9, -42, 293, -2454, 23807, -273304, 3629945, -53958154, 887374939, -16082430268, 318456745189, -6826882284078, 157521655230391, -3895161014873424, 102760306169663089, -2880160526862435858, 85467391529053927219, -2677188255115662866532, 88276488832167340241821

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Example

2*x - 3/2!*x^2 + 9/3!*x^3 - 42/4!*x^4 + 293/5!*x^5 - ...

Mathematica

With[{nn=30}, Drop[CoefficientList[Series[Log[ArcTan[x] + Exp[x]], {x, 0, nn}], x] Range[0, nn]!]] (* Vincenzo Librandi Jul 30 2018 *)

Prog

(PARI) x = 'x + O('x^30); concat([0], Vec(serlaplace(log(atan(x) + exp(x))))) \\ Michel Marcus, Jul 30 2018

Crossrefs

Sequence in context: A052828 A214915 A219673 * A316916 A162094 A162095

Adjacent sequences: A012969 A012970 A012971 * A012973 A012974 A012975

Keyword

sign

Author

Patrick Demichel (patrick.demichel(AT)hp.com)

Extensions

a(0)=0 inserted and title improved by Sean A. Irvine, Jul 29 2018

Status

approved