A199392 Decimal expansion of x>0 satisfying 3*x^2+2*x*sin(x)=3.

7, 9, 0, 7, 3, 4, 2, 1, 0, 9, 6, 7, 2, 3, 6, 9, 7, 8, 3, 5, 7, 1, 7, 1, 8, 5, 1, 4, 6, 1, 2, 8, 7, 9, 3, 6, 3, 0, 0, 4, 6, 6, 3, 7, 0, 0, 7, 4, 8, 1, 3, 2, 5, 9, 5, 0, 2, 2, 1, 8, 1, 4, 6, 0, 8, 0, 7, 7, 1, 0, 5, 2, 8, 4, 8, 5, 2, 2, 5, 1, 2, 9, 8, 5, 1, 0, 2, 1, 9, 3, 7, 0, 2, 2, 9, 0, 5, 2, 9, 6, 7, 7

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..101.

Example

x=0.7907342109672369783571718514612879363004663700...

Mathematica

a = 3; b = 2; c = 3;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .79, .80}, WorkingPrecision -> 110]
RealDigits[r]  (* A199392 *)

Crossrefs

Cf. A199370.

Sequence in context: A202283 A322092 A104757 * A120670 A357330 A175638

Adjacent sequences: A199389 A199390 A199391 * A199393 A199394 A199395

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved