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A199466 Decimal expansion of greatest x satisfying x^2-3*x*sin(x)=-cos(x). 2
2, 3, 7, 8, 1, 0, 9, 6, 9, 6, 1, 2, 0, 3, 2, 4, 8, 0, 6, 8, 2, 3, 0, 8, 7, 8, 4, 9, 8, 2, 6, 0, 8, 6, 3, 1, 8, 0, 9, 4, 7, 1, 5, 7, 4, 2, 2, 8, 8, 5, 5, 9, 6, 3, 5, 0, 6, 8, 0, 9, 8, 3, 4, 7, 7, 9, 1, 8, 0, 0, 4, 7, 7, 4, 9, 7, 1, 5, 9, 3, 6, 8, 2, 2, 3, 7, 3, 3, 3, 4, 2, 5, 1, 4, 1, 2, 0, 0, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A199429 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

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

EXAMPLE

x=2.3781096961203248068230878498260863180947157422...

MATHEMATICA

a = 1; b = -3; c = -1;

f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]

Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, 2.37, 2.38}, WorkingPrecision -> 110]

RealDigits[r]  (* A199466 greatest root *)

CROSSREFS

Cf. A199429.

Sequence in context: A092967 A056431 A281947 * A199966 A011027 A100072

Adjacent sequences:  A199463 A199464 A199465 * A199467 A199468 A199469

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 07 2011

STATUS

approved

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Last modified December 6 14:47 EST 2019. Contains 329806 sequences. (Running on oeis4.)