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A012600
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E.g.f.: arcsin(arcsinh(x)*arcsin(x)) = 2/2!*x^2+208/6!*x^6+680832/10!*x^10...
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1
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2, 208, 680832, 13382891520, 900036879360000, 154882202019677798400, 57048038229121314631188480, 39842938883822751996178291752960, 48329392241807199563371957327138652160, 95258638419599144345659651051786276479959040
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OFFSET
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0,1
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..50
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FORMULA
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a(n) = (4*n+2)! * [2^(4*n+2)] arcsin(arcsinh(x)*arcsin(x)).
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MAPLE
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b:= n-> n!* coeff(series(arcsin(arcsinh(x)*arcsin(x)), x, n+1 ), x, n):
a:= n-> b(4*n+2):
seq (a(n), n=0..10); # Alois P. Heinz, Aug 20 2012
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MATHEMATICA
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With[{nn=40}, Take[CoefficientList[Series[ArcSin[ArcSinh[x]ArcSin[x]], {x, 0, nn}], x]Range[0, nn-2]!, {3, -1, 4}]] (* Harvey P. Dale, Aug 20 2012 *)
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CROSSREFS
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Sequence in context: A110899 A281126 A220940 * A157479 A355904 A092700
Adjacent sequences: A012597 A012598 A012599 * A012601 A012602 A012603
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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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More terms from and definition clarified by Harvey P. Dale, Aug 20 2012
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STATUS
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approved
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