A235861 Regular continued fraction expansion of square root of 4729494.

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

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