A198873 Decimal expansion of x>0 satisfying 2*x^2-cos(x)=3.

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

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.

Index entries for transcendental numbers.

Example

1.28163038615996211042990667962001943164972109...

Mathematica

a = 2; b = -1; 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, 1.2, 1.3}, WorkingPrecision -> 110]
RealDigits[r]  (* A198873 *)

Crossrefs

Cf. A198755.

Sequence in context: A329280 A109089 A200479 * A103987 A021359 A109171

Adjacent sequences: A198870 A198871 A198872 * A198874 A198875 A198876

Keyword

nonn,cons,changed

Author

Clark Kimberling, Oct 31 2011

Status

approved