A199473 Decimal expansion of x>0 satisfying 2*x^2-x*sin(x)=3*cos(x).

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

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=1.086027211843730407845669734772027209316126500...

Mathematica

a = 2; b = -1; 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, 1.08, 1.09}, WorkingPrecision -> 110]
RealDigits[r]  (* A199473 *)

Crossrefs

Cf. A199429.

Sequence in context: A226317 A100121 A010526 * A153617 A069855 A156551

Adjacent sequences: A199470 A199471 A199472 * A199474 A199475 A199476

Keyword

nonn,cons

Author

Clark Kimberling, Nov 07 2011

Status

approved