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A199472 Decimal expansion of x>0 satisfying 2*x^2-x*sin(x)=2*cos(x). 2
9, 8, 1, 6, 9, 4, 7, 0, 9, 7, 8, 6, 9, 3, 6, 6, 7, 9, 9, 9, 4, 0, 7, 2, 2, 4, 2, 9, 8, 8, 2, 1, 1, 1, 6, 5, 4, 1, 3, 3, 7, 7, 7, 6, 7, 8, 4, 0, 4, 1, 5, 1, 8, 0, 5, 2, 1, 8, 3, 3, 9, 4, 1, 7, 9, 8, 6, 8, 2, 1, 4, 7, 8, 4, 8, 1, 7, 8, 9, 2, 1, 0, 5, 5, 4, 9, 0, 9, 7, 8, 5, 6, 7, 2, 2, 1, 1, 3, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

LINKS

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

EXAMPLE

x=0.981694709786936679994072242988211165413377767840...

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, .98, .99}, WorkingPrecision -> 110]

RealDigits[r]  (* A199472 *)

CROSSREFS

Cf. A199429.

Sequence in context: A053004 A019888 A154975 * A008570 A244978 A114864

Adjacent sequences:  A199469 A199470 A199471 * A199473 A199474 A199475

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 07 2011

STATUS

approved

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Last modified July 18 21:25 EDT 2019. Contains 325144 sequences. (Running on oeis4.)