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A197515 Decimal expansion of least x>0 having cos(Pi*x)=(cos x)^2. 3
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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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=1..99.

EXAMPLE

x=1.501524980455762550683947262886278157...

MATHEMATICA

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

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

   WorkingPrecision -> 200]

RealDigits[t]  (* A197515 *)

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

CROSSREFS

Cf. A197476.

Sequence in context: A054672 A021670 A060081 * A326185 A293508 A083861

Adjacent sequences:  A197512 A197513 A197514 * A197516 A197517 A197518

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 16 2011

STATUS

approved

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Last modified October 22 05:36 EDT 2021. Contains 348160 sequences. (Running on oeis4.)