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A013283 Expansion of e.g.f. arcsin(log(x+1) - tanh(x)). 0
0, 0, -1, 4, -6, 8, -135, 1412, -10780, 83568, -785925, 9561572, -136414674, 1991159480, -29164986851, 458554425604, -8138629332600, 159215259140448, -3271030693830729, 69435969035174084 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
EXAMPLE
-(1/2!)*x^2 + (4/3!)*x^3 - (6/4!)*x^4 + (8/5!)*x^5 - ...
MATHEMATICA
With[{nn=20}, CoefficientList[Series[ArcSin[Log[x+1]-Tanh[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jun 19 2019 *)
PROG
(PARI) x = 'x + O('x^30); concat([0, 0], Vec(serlaplace(asin(log(x+1) - tanh(x))))) \\ Michel Marcus, Aug 03 2018
CROSSREFS
Sequence in context: A013288 A013282 A013287 * A013284 A013290 A095211
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

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Last modified June 15 06:51 EDT 2024. Contains 373402 sequences. (Running on oeis4.)