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

Author

Derek V. Schmalenberger, Apr 12 2015

Keywords

• nonn
• cofr

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

• Wikipedia, Lieb's square ice constant

Crossrefs

Cf. A118273.

Programs

Mathematica

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