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 A012849 arctanh(sec(x)*arctanh(x))=x+7/3!*x^3+193/5!*x^5+13319/7!*x^7... 0
 1, 7, 193, 13319, 1721281, 357281351, 108706678273, 45591739883975, 25211971076762753, 17775279702237604231, 15562493015528998511681, 16565188691481564795512967, 21067308092979783990029042241 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..12. FORMULA a(n) ~ (2*n)! / r^(2*n+1), where r = 0.6588155299144662008044917663989656738607... is the root of the equation sec(r)*arctanh(r) = 1. - Vaclav Kotesovec, Feb 05 2015 MATHEMATICA With[{nn=30}, Take[CoefficientList[Series[ArcTanh[Sec[x]ArcTanh[x]], {x, 0, nn}], x] Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Jan 03 2014 *) CROSSREFS Sequence in context: A024096 A030257 A159826 * A308610 A277420 A220754 Adjacent sequences: A012846 A012847 A012848 * A012850 A012851 A012852 KEYWORD nonn AUTHOR Patrick Demichel (patrick.demichel(AT)hp.com) EXTENSIONS Definition clarified by Harvey P. Dale, Jan 03 2014 STATUS approved

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Last modified August 8 16:21 EDT 2024. Contains 375023 sequences. (Running on oeis4.)