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A013270
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Expansion of e.g.f. sin(log(x+1) - arcsinh(x)).
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0
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0, 0, -1, 3, -6, 15, -105, 630, -1260, -6615, -4725, 103950, 19022850, -387161775, 3887158275, -49945896000, 1286674389000, -26163490728375, 376381518888375, -6290132811212250, 161471805183438750
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OFFSET
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0,4
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LINKS
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EXAMPLE
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-(1/2!)*x^2 + (3/3!)*x^3 - (6/4!)*x^4 + (15/5!)*x^5 - ...
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MATHEMATICA
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With[{nn=30}, Drop[CoefficientList[Series[Sin[Log[x+1]-ArcSinh[x]], {x, 0, nn}], x] Range[0, nn]!, 2]] (* Harvey P. Dale, May 07 2012 *)
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PROG
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(PARI) x = 'x + O('x^30); concat([0, 0], Vec(serlaplace(sin(log(x+1) - asinh(x))))) \\ Michel Marcus, Aug 03 2018
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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Patrick Demichel (patrick.demichel(AT)hp.com)
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EXTENSIONS
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a(0)=a(1)=0 inserted and title improved by Sean A. Irvine, Aug 02 2018
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STATUS
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approved
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