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A012321
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Expansion of e.g.f. sinh(arcsin(x) * exp(x)).
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0
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0, 1, 2, 5, 20, 125, 830, 6001, 45768, 394553, 3699418, 38758909, 433324828, 5299232757, 68428221654, 958395448297, 14101599762448, 223667919165041, 3706771205012274, 65843651814440309, 1215858569345385636
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..20.
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EXAMPLE
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x + 2/2!*x^2 + 5/3!*x^3 + 20/4!*x^4 + 125/5!*x^5 ...
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MATHEMATICA
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With[{nn=30}, CoefficientList[Series[Sinh[ArcSin[x]Exp[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jan 06 2019 *)
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CROSSREFS
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Sequence in context: A009599 A112833 A144503 * A012519 A076795 A130293
Adjacent sequences: A012318 A012319 A012320 * A012322 A012323 A012324
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KEYWORD
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nonn
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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 17 2018
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STATUS
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approved
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