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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

Table of n, a(n) for n=0..92.

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.)