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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
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
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
KEYWORD
nonn,cofr
AUTHOR
Carsten Elsner, Jan 16 2014
STATUS
approved