A104287 Decimal expansion of log base phi of 2.

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

Table of n, a(n) for n=1..105.

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.

Index entries for transcendental numbers.

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

Cf. A001622, A002162, A002390.

Sequence in context: A106508 A177036 A158100 * A174611 A283361 A138518

Adjacent sequences: A104284 A104285 A104286 * A104288 A104289 A104290

Keyword

cons,nonn,easy

Author

Bryan Jacobs (bryanjj(AT)gmail.com), Feb 28 2005

Status

approved