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A013259
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Expansion of e.g.f. arcsin(log(x+1) - sinh(x)).
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0
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0, 0, -1, 1, -6, 23, -135, 824, -6580, 56853, -574245, 6321434, -77709654, 1034820863, -15028496483, 234652617016, -3939397037160, 70561239939417, -1345864598250633, 27205562970320606, -581454141374015770
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OFFSET
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0,5
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LINKS
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EXAMPLE
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-(1/2!)*x^2 + (1/3!)*x^3 - (6/4!)*x^4 + (23/5!)*x^5 - ...
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MATHEMATICA
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With[{nn=20}, CoefficientList[Series[ArcSin[Log[x+1]-Sinh[x]], {x, 0, nn}], x] Range[ 0, nn]!] (* Harvey P. Dale, Apr 14 2021 *)
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PROG
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(PARI) x = 'x + O('x^30); concat([0, 0], Vec(serlaplace(asin(log(x+1) - sinh(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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