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A182546
Decimal expansion of | log_phi(i) |, where phi is the golden ratio and i is the imaginary unit.
0
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
1,1
FORMULA
Equals |Im(Log(i))/Log(A001622)|
Equals Pi/log(phi+1) = A000796/A202543. - Gleb Koloskov, Sep 28 2021
EXAMPLE
3.26425130263649690673153367843629490781491039315880...
MATHEMATICA
RealDigits[ Im[N[Log[I]/Log[GoldenRatio], 105]]] [[1]]
RealDigits[Abs[Log[GoldenRatio, I]], 10, 120][[1]] (* Harvey P. Dale, Sep 22 2018 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Volker Werner, May 04 2012
STATUS
approved