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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

%I #23 Feb 07 2022 02:59:56

%S 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,

%T 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,

%U 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

%N Decimal expansion of negated cotangent of the golden ratio. That is, the decimal expansion of -cot((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 cot(A001622).

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

%F Equals 1/A139347.

%F Equals A139346/A139345. (End)

%e 0.04727282866479448118935650960621633420056105722556...

%t Join[{0},RealDigits[-Cot[GoldenRatio],10,120][[1]]] (* _Harvey P. Dale_, Sep 18 2013 *)

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

%Y Cf. A001622, A094214, A104457, A098317, A002390, A139339, A139340, A139341, A139342, A139345, A139346, A139347.

%K nonn,cons

%O 0,2

%A _Mohammad K. Azarian_, Apr 15 2008

%E Added sign in definition. Leading zero dropped by _R. J. Mathar_, Feb 05 2009

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Last modified April 23 13:11 EDT 2024. Contains 371913 sequences. (Running on oeis4.)