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A104287
Decimal expansion of log base phi of 2.
4
1, 4, 4, 0, 4, 2, 0, 0, 9, 0, 4, 1, 2, 5, 5, 6, 4, 7, 9, 0, 1, 7, 5, 5, 1, 4, 9, 9, 5, 8, 7, 8, 6, 3, 8, 0, 2, 4, 5, 8, 6, 0, 4, 1, 4, 2, 6, 8, 4, 0, 5, 6, 0, 8, 1, 6, 4, 5, 4, 4, 1, 7, 2, 9, 5, 6, 6, 5, 1, 3, 2, 8, 4, 3, 5, 2, 9, 9, 0, 3, 6, 7, 2, 7, 9, 5, 2, 8, 2, 2, 0, 4, 9, 7, 3, 5, 7, 5, 9, 1, 6, 3, 1, 2, 7
OFFSET
1,2
COMMENTS
The fractal dimension of the goldpoint snowflake (Turner, 2003). - Amiram Eldar, Jan 11 2022
REFERENCES
Krassimir Atanassova, Vassia Atanassova, Anthony Shannon and John Turner, New Visual Perspectives on Fibonacci Numbers, World Scientific, 2002, p. 218.
LINKS
Greg Kuperberg, Breaking the cubic barrier in the Solovay-Kitaev algorithm, QIP2023 video (2023).
J. C. Turner, Some fractals in goldpoint geometry, The Fibonacci Quarterly, Vol. 41, No. 1 (2003), pp. 63-71.
FORMULA
Equals log(2) / log((sqrt(5)+1)/2).
Equals A002162/A002390. - Amiram Eldar, Nov 24 2020
EXAMPLE
1.4404200904125564790175514995878638024586041426840560816454417295665...
MATHEMATICA
RealDigits[Log[2]/Log[GoldenRatio], 10, 100][[1]] (* Amiram Eldar, Nov 24 2020 *)
PROG
(PARI) log(2)/log((sqrt(5)+1)/2) \\ Charles R Greathouse IV, May 15 2019
CROSSREFS
KEYWORD
cons,nonn,easy
AUTHOR
Bryan Jacobs (bryanjj(AT)gmail.com), Feb 28 2005
STATUS
approved