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A197491 Decimal expansion of least x>0 having cos(x)=(cos 3*pi*x/2)^2. 2
5, 7, 8, 5, 4, 8, 9, 2, 5, 4, 2, 5, 7, 1, 8, 3, 8, 3, 2, 0, 4, 0, 7, 3, 6, 7, 3, 2, 4, 8, 8, 0, 2, 1, 1, 8, 2, 8, 6, 8, 1, 7, 0, 1, 7, 9, 2, 0, 6, 9, 1, 2, 1, 4, 6, 3, 7, 8, 2, 7, 3, 3, 1, 7, 8, 5, 0, 1, 2, 8, 6, 9, 6, 2, 4, 5, 6, 6, 9, 4, 3, 2, 0, 2, 7, 2, 4, 1, 7, 9, 2, 6, 8, 1, 8, 2, 6, 9, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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.

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

x=0.57854892542571838320407367324880211828681701...

MATHEMATICA

b = 1; c = 3 Pi/2; f[x_] := Cos[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .56, .58}, WorkingPrecision -> 110]

RealDigits[t] (* A197491 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/3}]

CROSSREFS

Cf. A197476.

Sequence in context: A155855 A070366 A141606 * A254274 A068001 A213443

Adjacent sequences:  A197488 A197489 A197490 * A197492 A197493 A197494

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 15 2011

STATUS

approved

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Last modified October 13 20:38 EDT 2019. Contains 327981 sequences. (Running on oeis4.)