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A199439 Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=2*cos(x). 2
7, 1, 8, 5, 2, 7, 1, 4, 8, 7, 1, 1, 1, 8, 8, 8, 2, 1, 1, 4, 5, 3, 1, 2, 5, 7, 9, 7, 1, 8, 2, 6, 8, 8, 4, 7, 6, 3, 1, 0, 1, 6, 9, 4, 2, 9, 3, 9, 1, 3, 0, 8, 5, 1, 0, 4, 8, 5, 2, 5, 6, 4, 0, 5, 7, 1, 5, 5, 6, 0, 6, 3, 8, 0, 0, 9, 5, 5, 5, 5, 9, 1, 5, 1, 2, 3, 8, 8, 4, 6, 9, 0, 7, 1, 0, 9, 5, 2, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A199370 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

x=0.718527148711188821145312579718268847631016...

MATHEMATICA

a = 2; b = 1; c = 2;

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, .71, .72}, WorkingPrecision -> 110]

RealDigits[r]  (* A199439 *)

CROSSREFS

Cf. A199429.

Sequence in context: A091131 A249279 A145963 * A153625 A011100 A244382

Adjacent sequences:  A199436 A199437 A199438 * A199440 A199441 A199442

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 06 2011

STATUS

approved

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Last modified September 20 22:20 EDT 2019. Contains 327252 sequences. (Running on oeis4.)