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A199510 Decimal expansion of x>0 satisfying 3*x^2-2*x*sin(x)=3*cos(x). 2
1, 0, 5, 1, 1, 1, 0, 2, 2, 8, 8, 4, 3, 7, 2, 8, 0, 1, 1, 4, 2, 5, 7, 1, 1, 4, 5, 8, 1, 1, 9, 4, 1, 9, 6, 8, 5, 1, 2, 4, 5, 1, 6, 6, 6, 3, 2, 2, 4, 9, 7, 1, 6, 7, 3, 6, 5, 4, 6, 3, 1, 8, 0, 3, 4, 1, 2, 6, 0, 5, 5, 7, 2, 6, 6, 1, 2, 0, 3, 1, 6, 1, 5, 6, 7, 4, 6, 9, 3, 5, 3, 2, 0, 3, 9, 3, 1, 8, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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=1.05111022884372801142571145811941968512...

MATHEMATICA

a = 3; b = -2; c = 3;

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, 1.05, 1.06}, WorkingPrecision -> 110]

RealDigits[r]  (* A199510 *)

CROSSREFS

Cf. A199429.

Sequence in context: A196840 A162298 A196755 * A146306 A336697 A326073

Adjacent sequences:  A199507 A199508 A199509 * A199511 A199512 A199513

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 07 2011

STATUS

approved

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Last modified July 24 01:41 EDT 2021. Contains 346269 sequences. (Running on oeis4.)