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A012315
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Expansion of e.g.f. sech(arcsin(x)*log(x+1)).
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1
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1, 0, 0, 0, -12, 60, -450, 2940, -16688, 58464, 506520, -18245040, 332343528, -5206192992, 71271712512, -855046876320, 7211743218432, 15834692767104, -2957850381938112, 99133043643679104, -2542788978368967552
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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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E.g.f. = 1 -12/4!*x^4 +60/5!*x^5 -450/6!*x^6 +2940/7!*x^7 + ...
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MAPLE
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seq(coeff(series(factorial(n)*sech(arcsin(x)*log(x+1)), x, n+1), x, n), n = 0 .. 20); # Muniru A Asiru, Oct 25 2018
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MATHEMATICA
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With[{nn = 30}, CoefficientList[Series[Sech[ArcSin[x]*Log[x + 1]], {x, 0, nn}], x] Range[0, nn]!] (* G. C. Greubel, Oct 25 2018 *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(1/cosh(asin(x)*log(x+1)))) \\ G. C. Greubel, Oct 25 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( 1/Cosh(Arcsin(x)*Log(x+1)) )); [Factorial(n-1)*b[n]: n in [1..m-1]]; // G. C. Greubel, Oct 25 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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STATUS
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approved
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