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A197522 Decimal expansion of least x>0 having cos(x)=(cos 4*pi*x)^2. 2
2, 1, 2, 0, 7, 1, 0, 7, 1, 9, 1, 8, 1, 0, 4, 2, 8, 2, 0, 4, 4, 3, 5, 1, 1, 7, 5, 6, 9, 4, 2, 8, 3, 5, 2, 2, 5, 6, 8, 5, 2, 0, 3, 0, 5, 0, 9, 1, 1, 6, 4, 7, 9, 0, 9, 2, 9, 7, 8, 5, 0, 4, 1, 1, 7, 5, 6, 7, 9, 8, 7, 1, 8, 7, 3, 8, 4, 5, 8, 1, 6, 1, 5, 5, 0, 9, 7, 0, 5, 7, 4, 7, 6, 0, 0, 1, 8, 3, 7 (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=0.212071071918104282044351175694283522568520305091...

MATHEMATICA

b = 1; c = 4*Pi; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .21, .22}, WorkingPrecision -> 200]

RealDigits[t] (* A197522 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, .5}]

CROSSREFS

Cf. A197133.

Sequence in context: A182270 A246272 A055135 * A121310 A278158 A218880

Adjacent sequences:  A197519 A197520 A197521 * A197523 A197524 A197525

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 16 2011

STATUS

approved

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Last modified April 24 22:26 EDT 2019. Contains 322446 sequences. (Running on oeis4.)