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 A127814 a(n) = numerator of b(n), where b(1) = 2, b(n) = b(n-1) - 1/b(n-1). 5
 2, 3, 5, -11, 779, 497941, 181860254581, 16687694789137362648661, -263439569256003706800705587722279993788907979, 81512663708476146329709015825571064954724426915346799560162522434680208602364731247764459 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Every term of this sequence of numerators is coprime to every other term. LINKS M. Chamberland and M. Martelli, Unbounded Orbits and Binary Digits, Grinnell College. Clark Kimberling, Polynomials associated with reciprocation, JIS 12 (2009) 09.3.4 EXAMPLE A127814/A127815 = 2, 3/2, 5/6, -11/30, 779/330, 497941/257070, 181860254581/128005692870, ... MATHEMATICA f[l_List] := Append[l, l[[ -1]] - 1/l[[ -1]]]; Numerator[Nest[f, {2}, 10]] (* Ray Chandler, Feb 07 2007 *) Numerator/@NestList[#-1/#&, 2, 10] (* Harvey P. Dale, Apr 30 2011 *) CROSSREFS Cf. A127815, A242995. Sequence in context: A327428 A220346 A242995 * A162253 A321855 A357433 Adjacent sequences: A127811 A127812 A127813 * A127815 A127816 A127817 KEYWORD easy,frac,sign AUTHOR Leroy Quet, Jan 30 2007 EXTENSIONS Extended by Ray Chandler, Feb 07 2007 STATUS approved

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Last modified February 5 02:46 EST 2023. Contains 360082 sequences. (Running on oeis4.)