A197579 - OEIS

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A197579

Decimal expansion of least x > 0 having cos(Pi*x/2) = cos(x)^2.

1, 2, 6, 9, 3, 2, 8, 1, 6, 7, 9, 5, 3, 9, 7, 0, 8, 4, 8, 9, 3, 6, 1, 8, 5, 1, 4, 9, 7, 0, 3, 7, 8, 8, 8, 0, 7, 3, 9, 7, 8, 7, 1, 2, 7, 7, 3, 3, 8, 0, 8, 6, 1, 0, 1, 4, 5, 1, 6, 8, 9, 1, 8, 2, 8, 8, 6, 5, 8, 8, 5, 6, 9, 3, 3, 3, 8, 3, 0, 9, 8, 2, 0, 7, 6, 8, 2, 5, 1, 7, 6, 6, 8, 5, 1, 6, 9, 9, 7

(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=1.26932816795397084893618514970378880739787127...

MATHEMATICA

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

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.2, 1.3}, WorkingPrecision -> 200]