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A197412 Decimal expansion of least x>0 having sin(pi*x/4)=(sin x/4)^2. 2
3, 2, 8, 1, 3, 7, 2, 2, 9, 5, 3, 1, 1, 0, 4, 9, 8, 9, 9, 4, 2, 4, 7, 9, 8, 3, 5, 4, 8, 3, 9, 6, 1, 9, 2, 2, 0, 2, 2, 6, 2, 0, 6, 6, 2, 9, 3, 8, 6, 2, 2, 6, 7, 8, 2, 6, 3, 8, 5, 7, 0, 6, 9, 2, 5, 6, 4, 6, 8, 4, 3, 8, 5, 9, 1, 0, 5, 5, 0, 5, 4, 3, 1, 2, 1, 6, 5, 0, 7, 0, 0, 5, 7, 5, 8, 2, 0, 4, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The Mathematica program includes a graph.  See A197133 for a guide to least x>0 satisfying sin(b*x)=(sin(c*x))^2 for selected b and c.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

x=3.281372295311049899424798354839619220...

MATHEMATICA

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

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 3.2, 3.5}, WorkingPrecision -> 200]

RealDigits[t] (* A197412 *)

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

CROSSREFS

Cf. A197133.

Sequence in context: A143312 A224234 A305368 * A275373 A113794 A086774

Adjacent sequences:  A197409 A197410 A197411 * A197413 A197414 A197415

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 14 2011

STATUS

approved

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Last modified September 19 17:27 EDT 2020. Contains 337178 sequences. (Running on oeis4.)