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A012468
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Expansion of e.g.f. arcsin(cos(x) * log(x+1)).
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0
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0, 1, -1, 0, -6, 23, -135, 1288, -10164, 106661, -1257165, 15497152, -222045450, 3414340811, -56743257571, 1031328757912, -19972120728840, 414440475923689, -9175579196399001, 215060308589382272
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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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x - 1/2!*x^2 - 6/4!*x^4 + 23/5!*x^5 - 135/6!*x^6 ...
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MATHEMATICA
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With[{nn=20}, CoefficientList[Series[ArcSin[Cos[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, May 10 2019 *)
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PROG
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(PARI) x = 'x + O('x^30); concat([0], Vec(serlaplace(asin(cos(x)*log(x+1))))) \\ Michel Marcus, Jul 19 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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STATUS
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approved
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