A199381 Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=3.

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

Offset

1,3

Comments

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

Links

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

Example

x=1.0291249219669069861713592377891164084811711841...

Mathematica

a = 2; b = 1; 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, 1.02, 1.03}, WorkingPrecision -> 110]
RealDigits[r]   (* A199381 *)

Crossrefs

Cf. A199370.

Sequence in context: A105548 A153093 A094242 * A083649 A073009 A011064

Adjacent sequences: A199378 A199379 A199380 * A199382 A199383 A199384

Keyword

nonn,cons

Author

Clark Kimberling, Nov 05 2011

Status

approved