A256888 Terms of the continued fraction expansion of 1 + sqrt(64 / 37).

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, 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, 5, 3, 2, 3, 5, 1, 3, 1, 3, 1, 5, 3, 2, 3, 5, 1, 3, 1, 3, 1, 5, 3

Offset

1,1

Comments

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.

Links

Table of n, a(n) for n=1..90.

Wikipedia, Lieb's square ice constant

Mathematica

ContinuedFraction[1 + Sqrt[64/37], 120] (* Michael De Vlieger, Apr 24 2015 *)

Crossrefs

Cf. A118273.

Sequence in context: A004573 A242730 A123962 * A010585 A295302 A110879

Adjacent sequences: A256885 A256886 A256887 * A256889 A256890 A256891

Keyword

nonn,cofr

Author

Derek V. Schmalenberger, Apr 12 2015

Status

approved