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A013258
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Expansion of e.g.f. sin(log(x+1)-sinh(x)).
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1
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0, 0, -1, 1, -6, 23, -105, 614, -3500, 23785, -160965, 1109414, -6628446, 14323385, 625668043, -19616745968, 448164492360, -9492285973399, 198428984155863, -4196829028100218, 90850331257510750, -2024626265649361787
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OFFSET
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0,5
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COMMENTS
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Empirical: Lim_{n->infinity} a(n)*n/a(n+1) = -1. - Iain Fox, Nov 30 2017
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LINKS
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FORMULA
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E.g.f.: sin(log(x+1)-sinh(x)).
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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=30}, CoefficientList[Series[Sin[Log[x+1]-Sinh[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Feb 22 2013 *)
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PROG
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(PARI) first(n) = x='x+O('x^n); Vec(serlaplace(sin(log(x+1)-sinh(x))), -n) \\ Iain Fox, Nov 30 2017
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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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