A198931 Decimal expansion of x>0 satisfying 3*x^2-2*cos(x)=4.

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

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=1.243937285397236552731015877520572201545888...

Mathematica

a = 3; b = -2; c = 4;
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] (* A198931 *)

Crossrefs

Cf. A198755.

Sequence in context: A272471 A367443 A155749 * A344425 A340896 A293779

Adjacent sequences: A198928 A198929 A198930 * A198932 A198933 A198934

Keyword

nonn,cons

Author

Clark Kimberling, Oct 31 2011

Status

approved