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A197478 Decimal expansion of least x>0 having cos(x)=(cos 4x)^2. 2
6, 6, 5, 3, 7, 5, 3, 1, 9, 8, 2, 0, 6, 9, 4, 5, 9, 9, 9, 4, 1, 0, 9, 7, 6, 2, 4, 1, 4, 1, 6, 9, 7, 3, 2, 1, 2, 9, 4, 4, 4, 0, 0, 4, 9, 3, 7, 5, 9, 6, 0, 2, 5, 5, 6, 0, 6, 2, 0, 9, 0, 9, 6, 7, 4, 4, 0, 1, 3, 1, 7, 1, 1, 4, 8, 5, 3, 7, 9, 5, 5, 8, 6, 5, 1, 2, 8, 2, 4, 6, 6, 5, 1, 3, 5, 5, 6, 3, 9 (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=0.6653753198206945999410976241416973212944400...

MATHEMATICA

b = 1; c = 4; f[x_] := Cos[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .6, .7}, WorkingPrecision -> 200]

RealDigits[t] (* A197478 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, 1}]

CROSSREFS

Cf. A197476.

Sequence in context: A255823 A011188 A246184 * A260713 A101801 A199664

Adjacent sequences:  A197475 A197476 A197477 * A197479 A197480 A197481

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 15 2011

STATUS

approved

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Last modified November 28 06:42 EST 2021. Contains 349401 sequences. (Running on oeis4.)