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A139349 Decimal expansion of negated secant of the golden ratio. That is, the decimal expansion of -sec((1+sqrt(5))/2). 5

%I #25 Feb 07 2022 02:59:45

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

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

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

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

%F Equals 1/A139346. - _Amiram Eldar_, Feb 07 2022

%e 21.17742400636614440872804040937130213307185355364174...

%t RealDigits[-Sec[GoldenRatio],10,120][[1]] (* _Harvey P. Dale_, Dec 08 2011 *)

%o (PARI) -1/cos((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, 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 in definition added by _R. J. Mathar_, Feb 05 2009

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)