A199003 Decimal expansion of x>0 satisfying 4*x^2-4*cos(x)=3.

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

Offset

1,3

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=1.0979266503715994331440949096710967069204437...

Mathematica

a = 4; 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, 1.1}, WorkingPrecision -> 110]
RealDigits[r] (* A199003 *)

Crossrefs

Cf. A198755.

Sequence in context: A249601 A298524 A212005 * A199048 A094132 A243263

Adjacent sequences: A199000 A199001 A199002 * A199004 A199005 A199006

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved