A256888 - OEIS

%I #15 Apr 30 2015 22:19:06

%S 2,3,5,1,3,1,3,1,5,3,2,3,5,1,3,1,3,1,5,3,2,3,5,1,3,1,3,1,5,3,2,3,5,1,

%T 3,1,3,1,5,3,2,3,5,1,3,1,3,1,5,3,2,3,5,1,3,1,3,1,5,3,2,3,5,1,3,1,3,1,

%U 5,3,2,3,5,1,3,1,3,1,5,3,2,3,5,1,3,1,3,1,5,3

%N Terms of the continued fraction expansion of 1 + sqrt(64 / 37).

%C The number sqrt(64/37) is of interest because "Lieb's square ice constant" is sqrt(64/27) and 27+37 = 64 and 27*37 = 999. Adding 1 to sqrt(64/37) creates a continued fraction with a cycle length of 10.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Lieb%27s_square_ice_constant">Lieb's square ice constant</a>

%t ContinuedFraction[1 + Sqrt[64/37], 120] (* _Michael De Vlieger_, Apr 24 2015 *)

%Y Cf. A118273.

%K nonn,cofr

%O 1,1

%A _Derek V. Schmalenberger_, Apr 12 2015