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A139348
Decimal expansion of negated cotangent of the golden ratio. That is, the decimal expansion of -cot((1+sqrt(5))/2).
6
0, 4, 7, 2, 7, 2, 8, 2, 8, 6, 6, 4, 7, 9, 4, 4, 8, 1, 1, 8, 9, 3, 5, 6, 5, 0, 9, 6, 0, 6, 2, 1, 6, 3, 3, 4, 2, 0, 0, 5, 6, 1, 0, 5, 7, 2, 2, 5, 5, 6, 5, 3, 3, 0, 9, 7, 7, 2, 9, 9, 2, 5, 3, 2, 4, 7, 9, 8, 7, 7, 2, 2, 1, 4, 5, 2, 5, 6, 8, 8, 1, 6, 8, 7, 9, 8, 8, 7, 5, 0, 5, 2, 9, 9, 3, 8, 8, 0, 7, 0, 2, 1, 5, 3
OFFSET
0,2
COMMENTS
By the Lindemann-Weierstrass theorem, this constant is transcendental. - Charles R Greathouse IV, May 13 2019
FORMULA
Equals cot(A001622).
From Amiram Eldar, Feb 07 2022: (Start)
Equals 1/A139347.
Equals A139346/A139345. (End)
EXAMPLE
0.04727282866479448118935650960621633420056105722556...
MATHEMATICA
Join[{0}, RealDigits[-Cot[GoldenRatio], 10, 120][[1]]] (* Harvey P. Dale, Sep 18 2013 *)
PROG
(PARI) -cotan((sqrt(5)+1)/2) \\ Charles R Greathouse IV, May 13 2019
KEYWORD
nonn,cons
AUTHOR
Mohammad K. Azarian, Apr 15 2008
EXTENSIONS
Added sign in definition. Leading zero dropped by R. J. Mathar, Feb 05 2009
STATUS
approved