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A013290
Expansion of e.g.f. arctanh(log(x+1) - tanh(x)).
1
0, 0, -1, 4, -6, 8, -150, 1832, -16520, 134752, -1214640, 15556352, -248089248, 3892532096, -58976309392, 950047701696, -17523231473280, 360338416640512, -7742581556059008, 169950515543962112, -3892670273719159040, 95372338941501045760
OFFSET
0,4
LINKS
EXAMPLE
-(1/2!)*x^2 + (4/3!)*x^3 - (6/4!)*x^4 + (8/5!)*x^5 - ...
MATHEMATICA
Range[0, 25]! CoefficientList[Series[ArcTanh[Log[x + 1] - Tanh[x]], {x, 0, 25}], x] (* Vincenzo Librandi, Aug 03 2018 *)
PROG
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(1+Argtanh(Log(x+1) - Tanh(x)))); [0] cat [Factorial(n-1)*b[n]: n in [2..m]]; // Vincenzo Librandi, Aug 03 2018
CROSSREFS
Sequence in context: A013287 A013283 A013284 * A095211 A141569 A200621
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 03 2018
STATUS
approved