A013237 Expansion of e.g.f. arctan(log(x+1) - tan(x)).

0, 0, -1, 0, -6, 8, -90, 448, -2520, 26336, -120960, 1722688, -8914752, 110138624, -763819056, 2510508544, -23764540800, -1852444415488, 25138910788992, -839278029937664, 14518492774196480, -301837255570263040, 6080193763585041408, -100072615179212095488

Offset

0,5

Links

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

Example

-1/2!*x^2 - 6/4!*x^4 + 8/5!*x^5 - 90/6!*x^6 ...

Mathematica

Range[0, 25]! CoefficientList[Series[ArcTan[Log[x + 1] - Tan[x]], {x, 0, 25}], x] (* Vincenzo Librandi, Aug 02 2018 *)

Prog

(PARI) x = 'x + O('x^30); concat([0, 0], Vec(serlaplace(atan(log(x+1) - tan(x))))) \\ Michel Marcus, Aug 02 2018

Crossrefs

Sequence in context: A216796 A137127 A013241 * A013234 A013240 A161801

Adjacent sequences: A013234 A013235 A013236 * A013238 A013239 A013240

Keyword

sign

Author

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

Extensions

a(0)=a(1)=0 inserted and title improved by Sean A. Irvine, Aug 02 2018

Status

approved