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A197514 Decimal expansion of least x > 0 having cos(2*x) = cos(Pi*x/6)^2. 2
2, 4, 0, 3, 4, 7, 6, 9, 7, 8, 9, 9, 9, 9, 2, 5, 2, 2, 5, 4, 5, 1, 2, 9, 6, 4, 6, 3, 2, 4, 8, 1, 1, 8, 3, 1, 0, 8, 3, 7, 9, 2, 0, 0, 5, 2, 9, 0, 9, 6, 8, 0, 9, 5, 2, 8, 3, 5, 5, 5, 5, 7, 2, 2, 5, 3, 4, 8, 5, 7, 9, 3, 2, 2, 9, 5, 8, 4, 4, 3, 5, 5, 2, 3, 2, 9, 9, 5, 9, 4, 6, 7, 9, 3, 2, 7, 9, 3, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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=1..99.

EXAMPLE

x=2.40347697899992522545129646324811831083...

MATHEMATICA

b = 2; c = Pi/6; f[x_] := Cos[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2.4, 2.41}, WorkingPrecision -> 110]

RealDigits[t]  (* A197514 *)

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

CROSSREFS

Cf. A197476.

Sequence in context: A215451 A154585 A020822 * A112635 A222757 A004568

Adjacent sequences:  A197511 A197512 A197513 * A197515 A197516 A197517

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 16 2011

STATUS

approved

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Last modified September 23 14:40 EDT 2021. Contains 347618 sequences. (Running on oeis4.)