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 A244015 Denominators of rational approximations to sqrt(6) obtained from Newton's method. 4
 1, 2, 20, 1960, 18819920, 1735166549767840, 14749861913749949808286047759680, 1065814268211609269094400465471990022332221793124358274759711360 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS EXAMPLE 2, 5/2, 49/20, 4801/1960, 46099201/18819920, ... MAPLE N:=6; s:=[floor(sqrt(N))]; M:=8; for n from 1 to M do x:=s[n]; h:=(N-x^2)/(2*x); s:=[op(s), x+h]; od: lprint(s); s1:=map(numer, s); s2:=map(denom, s); PROG (MAGMA) m:=9; f:=[n eq 1 select 2 else (Self(n-1)+6/Self(n-1))/2: n in [1..m]]; [Denominator(f[n]): n in [1..m]]; // Vincenzo Librandi, Jan 12 2016 CROSSREFS Cf. A244014 (numerators). The analogs for sqrt(k), k=2,3,5,6,7 are: A001601/A051009, A002812/A071579, A081459/A081460, A244014/A244015, A244012/A244013. Sequence in context: A196749 A263417 A053848 * A279691 A319639 A134476 Adjacent sequences:  A244012 A244013 A244014 * A244016 A244017 A244018 KEYWORD nonn,frac AUTHOR N. J. A. Sloane, Jun 18 2014 STATUS approved

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Last modified May 15 03:16 EDT 2021. Contains 343909 sequences. (Running on oeis4.)