A198941 Decimal expansion of x>0 satisfying 3*x^2-4*cos(x)=3.

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

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=1.211796474671977577481407212916548022500...

Mathematica

a = 3; b = -4; 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, 1.21, 1.22}, WorkingPrecision -> 110]
RealDigits[r] (* A198941 *)

Crossrefs

Cf. A198755.

Sequence in context: A086738 A351083 A245803 * A058955 A176055 A354986

Adjacent sequences: A198938 A198939 A198940 * A198942 A198943 A198944

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved