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 A235861 Regular continued fraction expansion of square root of 4729494. 0
 2174, 1, 2, 1, 5, 2, 25, 3, 1, 1, 1, 1, 1, 1, 15, 1, 2, 16, 1, 2, 1, 1, 8, 6, 1, 21, 1, 1, 3, 1, 1, 1, 2, 2, 6, 1, 1, 5, 1, 17, 1, 1, 47, 3, 1, 1, 6, 1, 1, 3, 47, 1, 1, 17, 1, 5, 1, 1, 6, 2, 2, 1, 1, 1, 3, 1, 1, 21, 1, 6, 8, 1, 1, 2, 1, 16, 2, 1, 15, 1, 1, 1, 1, 1, 1, 3, 25, 2, 5, 1, 2, 1, 4348 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS This continued fraction is needed to solve completely Archimedes' cattle problem. See Mathematica program in A096151. - Robert G. Wilson v, Dec 06 2014 LINKS C. Elsner, On Error Sums for Square Roots of Positive Integers with Applications to Lucas and Pell Numbers, J. Int. Seq. 17 (2014) # 14.4.4 I. Vardi, Archimedes' cattle problem, Am. Math. Monthly 105 (1998), pp. 305-319. FORMULA a(n+92) = a(n) for n>0. MAPLE cfrac(sqrt(4729494), 500, quotients); MATHEMATICA ContinuedFraction@ Sqrt@ 4729494 // Flatten (* Robert G. Wilson v, Dec 06 2014 *) PROG (PARI) default(realprecision, 100); contfrac(sqrt(4729494)) \\ Michel Marcus, Mar 12 2015 CROSSREFS Cf. A096151. Sequence in context: A251955 A251951 A126844 * A184380 A252238 A237303 Adjacent sequences:  A235858 A235859 A235860 * A235862 A235863 A235864 KEYWORD nonn,cofr AUTHOR Carsten Elsner, Jan 16 2014 STATUS approved

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Last modified May 31 15:41 EDT 2020. Contains 334748 sequences. (Running on oeis4.)