A198993 Decimal expansion of x>0 satisfying 4*x^2-2*cos(x)=3.

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

Offset

1,4

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=1.008292167888835471427809853991686647334378423...

Mathematica

a = 4; b = -2; 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, 1.01}, WorkingPrecision -> 110]
RealDigits[r] (* A198993 *)

Crossrefs

Cf. A198755.

Sequence in context: A278261 A296301 A019865 * A307565 A119523 A181164

Adjacent sequences: A198990 A198991 A198992 * A198994 A198995 A198996

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved