|
%I #30 Feb 11 2018 11:14:46
%S 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,
%T 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,
%U 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
%N Regular continued fraction expansion of square root of 4729494.
%C This continued fraction is needed to solve completely Archimedes' cattle problem.
%C See Mathematica program in A096151. - _Robert G. Wilson v_, Dec 06 2014
%H C. Elsner, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL17/Elsner/elsner15.html">On Error Sums for Square Roots of Positive Integers with Applications to Lucas and Pell Numbers</a>, J. Int. Seq. 17 (2014) # 14.4.4
%H I. Vardi, <a href="http://www.jstor.org/stable/2589706">Archimedes' cattle problem</a>, Am. Math. Monthly 105 (1998), pp. 305-319.
%F a(n+92) = a(n) for n>0.
%p cfrac(sqrt(4729494),500,quotients);
%t ContinuedFraction@ Sqrt@ 4729494 // Flatten (* _Robert G. Wilson v_, Dec 06 2014 *)
%o (PARI) default(realprecision, 100); contfrac(sqrt(4729494)) \\ _Michel Marcus_, Mar 12 2015
%Y Cf. A096151.
%K nonn,cofr
%O 0,1
%A _Carsten Elsner_, Jan 16 2014
|
