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A180014 Decimal expansion of Pi/(2*phi^2). 2

%I #18 Oct 01 2022 00:41:21

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

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

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

%N Decimal expansion of Pi/(2*phi^2).

%C This is the first of the three angles (in radians) of a unique triangle that is right angled and where the angles are in a Geometric Progression - pi/(2*phi^2), pi/(2*phi), pi/2. The angles (in degrees) are approx 34.377, 55.623, 90.

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

%F pi/(2*phi^2) = A019669 / A104457 = (3 - sqrt(5)) * Pi/4.

%e 0.5999908074321633305578888766584034632812497527645287607337781876828268345598596...

%t RealDigits[N[Pi/(2(GoldenRatio)^2),100]][[1]]

%o (PARI) Pi/4*(3-sqrt(5)) \\ _Charles R Greathouse IV_, Jul 29 2011

%K easy,nonn,cons

%O 0,1

%A _Frank M Jackson_, Aug 06 2010

%E Partially edited by R. J. Mathar, Aug 07 2010

%E Mathematica program edited by _Harvey P. Dale_, Jul 10 2012

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Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)