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A012600 E.g.f.: arcsin(arcsinh(x)*arcsin(x)) = 2/2!*x^2+208/6!*x^6+680832/10!*x^10... 1
2, 208, 680832, 13382891520, 900036879360000, 154882202019677798400, 57048038229121314631188480, 39842938883822751996178291752960, 48329392241807199563371957327138652160, 95258638419599144345659651051786276479959040 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..50

FORMULA

a(n) = (4*n+2)! * [2^(4*n+2)] arcsin(arcsinh(x)*arcsin(x)).

MAPLE

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

MATHEMATICA

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 *)

CROSSREFS

Sequence in context: A110899 A281126 A220940 * A157479 A092700 A178388

Adjacent sequences:  A012597 A012598 A012599 * A012601 A012602 A012603

KEYWORD

nonn

AUTHOR

Patrick Demichel (patrick.demichel(AT)hp.com)

EXTENSIONS

More terms from and definition clarified by Harvey P. Dale, Aug 20 2012

STATUS

approved

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Last modified September 20 14:17 EDT 2020. Contains 337264 sequences. (Running on oeis4.)