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A140244 Decimal expansion of arccos(-1/4). 13

%I #14 Aug 21 2023 10:24:48

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

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

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

%N Decimal expansion of arccos(-1/4).

%C Angle in radians of the obtuse angle of the obtuse scalene triangle with sides of lengths 2, 3 and 4, the scalene triangle with least integer side lengths.

%C A140240 + A140242 + A140244 = arccos(7/8) + arccos(11/16) + arccos(-1/4) = Pi.

%C Arccos(-1/4) is the least positive x for which the function f(x)=cos(x)+cos(2x) attains its minimum value, which is -9/8. - _Clark Kimberling_, Oct 28 2011

%F arccos(-1/4) = Pi - arcsin(sqrt(15)/4) = Pi - arctan(sqrt(15)).

%e 1.82347658193697527271697912863346241435077843278439110412139607489448326362...

%t RealDigits[ArcCos[-1/4],10,120][[1]] (* _Harvey P. Dale_, Dec 20 2016 *)

%o (PARI) acos(-1/4)

%Y Cf. A140239, A140240, A140241, A140242, A140243, A140245, A140246, A140247, A140248, A140249.

%K cons,nonn

%O 1,2

%A _Rick L. Shepherd_, May 14 2008

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Last modified April 23 22:36 EDT 2024. Contains 371917 sequences. (Running on oeis4.)