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A256888 Terms of the continued fraction expansion of 1 + sqrt(64 / 37). 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 27 08:39 EDT 2021. Contains 347689 sequences. (Running on oeis4.)