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A197253 Decimal expansion of least x>0 having sin x = (sin 7x)^2. 2
2, 0, 5, 4, 8, 0, 4, 2, 1, 7, 1, 7, 7, 4, 3, 1, 8, 7, 0, 3, 5, 4, 1, 8, 4, 5, 3, 8, 4, 5, 8, 4, 8, 0, 0, 4, 4, 1, 0, 6, 7, 0, 2, 5, 7, 5, 2, 5, 4, 4, 4, 1, 2, 1, 3, 4, 8, 7, 1, 8, 9, 6, 7, 4, 2, 9, 1, 0, 3, 1, 2, 3, 5, 6, 2, 4, 4, 0, 2, 2, 3, 5, 8, 2, 1, 1, 7, 0, 4, 5, 6, 7, 9, 1, 4, 5, 3, 6, 3, 7 (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..98.

EXAMPLE

0.0205480421717743187035418453845848004410...

MATHEMATICA

b = 1; c = 7; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .01, .1}, WorkingPrecision -> 100]

RealDigits[t] (* A197253 *)

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

PROG

(PARI) solve(x=.01, .03, sin(x)-sin(7*x)^2) \\ Charles R Greathouse IV, Dec 28 2011

CROSSREFS

Cf. A197133.

Sequence in context: A083714 A215481 A262933 * A249693 A251420 A137421

Adjacent sequences:  A197250 A197251 A197252 * A197254 A197255 A197256

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 12 2011

STATUS

approved

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Last modified August 7 19:57 EDT 2020. Contains 336279 sequences. (Running on oeis4.)