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A012661
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Expansion of e.g.f. arcsinh(tanh(x) * exp(x)).
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1
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0, 1, 2, 0, -16, -60, 152, 4200, 25664, -186480, -5704288, -39336000, 690642944, 20876856000, 130293779072, -5328943401600, -157981983410176, -643110850533120, 73817890476319232, 2117532947966822400, -32035386635677696, -1662866885052169251840, -45187519429186322679808
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OFFSET
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0,3
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
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EXAMPLE
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x + 2/2!*x^2 - 16/4!*x^4 - 60/5!*x^5 + 152/6!*x^6 ...
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MAPLE
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seq(coeff(series(factorial(n)*arcsinh(tanh(x)*exp(x)), x, n+1), x, n), n=0..25); # Muniru A Asiru, Jul 24 2018
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MATHEMATICA
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With[{nn=25}, Drop[CoefficientList[Series[ArcSinh[Tanh[x]Exp[x]], {x, 0, nn}], x] Range[0, nn]!]] (* Vincenzo Librandi, Jul 24 2018 *)
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CROSSREFS
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Sequence in context: A098336 A116093 A012409 * A345652 A009528 A178987
Adjacent sequences: A012658 A012659 A012660 * A012662 A012663 A012664
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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) inserted and title improved by Sean A. Irvine, Jul 23 2018
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STATUS
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approved
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