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A012281
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Expansion of e.g.f. sin(sin(x) * log(x+1)).
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1
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0, 0, 2, -3, 4, -20, -10, 609, -3880, 32040, -352742, 3799565, -44271460, 571990068, -7830460482, 113493888585, -1753811009808, 28760379830416, -498456016769742, 9112758567973533, -175322176912457996
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OFFSET
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0,3
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LINKS
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EXAMPLE
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E.g.f. = 2*x^2/2! - 3*x^3/3! + 4*x^4/4! - 20*x^5/5! - 10*x^6/6! + ...
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MATHEMATICA
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With[{nn=20}, Drop[CoefficientList[Series[Sin[Sin[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!, 2]] (* Harvey P. Dale, Jun 01 2014 *)
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PROG
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(PARI) x='x+O('x^30); concat([0, 0], Vec(serlaplace(sin(sin(x)* log(x+1))))) \\ G. C. Greubel, Oct 26 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( Sin(Sin(x)*Log(x+1)) )); [0, 0] cat [Factorial(n+1)*b[n]: n in [1..m-2]]; // G. C. Greubel, Oct 26 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) and a(1) inserted and title improved by Sean A. Irvine, Jul 17 2018
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STATUS
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approved
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