A182546 Decimal expansion of | log_phi(i) |, where phi is the golden ratio and i is the imaginary unit.

3, 2, 6, 4, 2, 5, 1, 3, 0, 2, 6, 3, 6, 4, 9, 6, 9, 0, 6, 7, 3, 1, 5, 3, 3, 6, 7, 8, 4, 3, 6, 2, 9, 4, 9, 0, 7, 8, 1, 4, 9, 1, 0, 3, 9, 3, 1, 5, 8, 8, 0, 5, 1, 8, 1, 8, 9, 6, 3, 2, 6, 6, 9, 3, 9, 9, 8, 2, 1, 2, 5, 6, 9, 4, 1, 5, 2, 0, 6, 3, 8, 1, 5, 5, 9, 0, 6, 4, 1, 6, 4, 3, 5, 6, 0, 9, 1, 4, 8, 5, 6, 1, 9, 0, 5

Offset: 1

Author

Volker Werner, May 04 2012

Keywords

• nonn
• cons

Examples

			3.26425130263649690673153367843629490781491039315880...
		

Crossrefs

Cf. A000796, A001622, A202543.

Programs

Mathematica

RealDigits[ Im[N[Log[I]/Log[GoldenRatio], 105]]] [[1]]
RealDigits[Abs[Log[GoldenRatio,I]],10,120][[1]] (* Harvey P. Dale, Sep 22 2018 *)

Formula

Equals |Im(Log(i))/Log(A001622)|

Equals Pi/log(phi+1) = A000796/A202543. - Gleb Koloskov, Sep 28 2021