A198926 Decimal expansion of x>0 satisfying 3*x^2-cos(x)=4.

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

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=1.20519818177546525768610397549528276504331...

Mathematica

a = 3; b = -1; 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]  (* A198926 *)

Crossrefs

Cf. A198755.

Sequence in context: A339168 A370896 A307438 * A243998 A290395 A082974

Adjacent sequences: A198923 A198924 A198925 * A198927 A198928 A198929

Keyword

nonn,cons

Author

Clark Kimberling, Oct 31 2011

Status

approved