A198880 Decimal expansion of x>0 satisfying 2*x^2-3*cos(x)=2.

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

Offset

1,2

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=1.227017207352922089722199708195426935059...

Mathematica

a = 2; b = -3; c = 2;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
RealDigits[r] (* A198880 *)

Crossrefs

Cf. A198755.

Sequence in context: A114362 A007338 A164325 * A201315 A199861 A190256

Adjacent sequences: A198877 A198878 A198879 * A198881 A198882 A198883

Keyword

nonn,cons

Author

Clark Kimberling, Oct 31 2011

Status

approved