A198989 Decimal expansion of x>0 satisfying 4*x^2-cos(x)=3.

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..98.

Example

x=0.9466285167687811749222542296484872470411999...

Mathematica

a = 4; b = -1; c = 3;
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, .94, .95}, WorkingPrecision -> 110]
RealDigits[r] (* A198989 *)

Crossrefs

Cf. A198755.

Sequence in context: A248177 A194826 A309610 * A255013 A088539 A245084

Adjacent sequences: A198986 A198987 A198988 * A198990 A198991 A198992

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved