A199459 Decimal expansion of greatest x satisfying x^2-2*x*sin(x)=-cos(x).

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

Offset

1,1

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=2.01774676092211845354730641940326037441326594026555...

Mathematica

a = 1; b = -2; c = -1;
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, 2.01, 2.02}, WorkingPrecision -> 110]
RealDigits[r]  (* A199459 greatest root *)

Crossrefs

Cf. A199429.

Sequence in context: A309124 A078341 A371762 * A316649 A065329 A352772

Adjacent sequences: A199456 A199457 A199458 * A199460 A199461 A199462

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved