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A197515 Decimal expansion of least x>0 having cos(Pi*x)=(cos x)^2. 3


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

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

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

%N Decimal expansion of least x>0 having cos(Pi*x)=(cos x)^2.

%C The Mathematica program includes a graph. See A197476 for a guide for the least x>0 satisfying cos(b*x)=(cos(c*x))^2 for selected b and c.

%e x=1.501524980455762550683947262886278157...

%t b = Pi; c = 1; f[x_] := Cos[x]

%t t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.5, 1.502},

%t WorkingPrecision -> 200]

%t RealDigits[t] (* A197515 *)

%t Plot[{f[b*x], f[c*x]^2}, {x, 0, 3}]

%Y Cf. A197476.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Oct 16 2011

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Last modified November 30 04:28 EST 2021. Contains 349418 sequences. (Running on oeis4.)