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A139347 Decimal expansion of negated tangent of the golden ratio. That is, the decimal expansion of -tan((1+sqrt(5))/2). 6

%I #20 Feb 07 2022 08:15:51

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

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

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

%N Decimal expansion of negated tangent of the golden ratio. That is, the decimal expansion of -tan((1+sqrt(5))/2).

%C By the Lindemann-Weierstrass theorem, this constant is transcendental. - _Charles R Greathouse IV_, May 13 2019

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%F Equals tan(A001622).

%F From _Amiram Eldar_, Feb 07 2022: (Start)

%F Equals 1/A139348.

%F Equals A139345/A139346. (End)

%e -21.15380078249327464858628117032582559788124367464826...

%t RealDigits[Tan[GoldenRatio], 10, 100][[1]] (* _Amiram Eldar_, Feb 07 2022 *)

%o (PARI) -tan((sqrt(5)+1)/2) \\ _Charles R Greathouse IV_, May 13 2019

%Y Cf. A001622, A094214, A104457, A098317, A002390, A139339, A139340, A139341, A139342, A139345, A139346, A139348.

%K nonn,cons

%O 2,1

%A _Mohammad K. Azarian_, Apr 15 2008

%E Offset corrected by _Mohammad K. Azarian_, Dec 13 2008

%E Sign added to definition by _R. J. Mathar_, Feb 05 2009

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)