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

Author

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

Keywords

• cons
• nonn
• easy

Comments

The fractal dimension of the goldpoint snowflake (Turner, 2003). - Amiram Eldar, Jan 11 2022

Examples

			1.4404200904125564790175514995878638024586041426840560816454417295665...
		

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.
• Index entries for transcendental numbers.

Crossrefs

Cf. A001622, A002162, A002390, A371176.

Programs

Mathematica

RealDigits[Log[2]/Log[GoldenRatio], 10, 100][[1]] (* Amiram Eldar, Nov 24 2020 *)

PARI

log(2)/log((sqrt(5)+1)/2) \\ Charles R Greathouse IV, May 15 2019

Formula

Equals log(2) / log((sqrt(5)+1)/2).

Equals A002162/A002390. - Amiram Eldar, Nov 24 2020