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User: Derek V. Schmalenberger

Derek V. Schmalenberger's wiki page.

Derek V. Schmalenberger has authored 1 sequences.

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

Original entry on oeis.org

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

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Author

Derek V. Schmalenberger, Apr 12 2015

Keywords

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

Crossrefs

Cf. A118273.

Programs

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

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