A198870 Decimal expansion of x>0 satisfying 2*x^2+3*cos(x)=4.

1, 2, 1, 6, 2, 3, 8, 8, 0, 9, 4, 6, 6, 3, 9, 3, 2, 9, 0, 5, 9, 9, 6, 2, 5, 7, 6, 7, 0, 2, 9, 3, 4, 3, 2, 9, 1, 1, 5, 4, 4, 7, 0, 4, 5, 7, 2, 0, 2, 5, 3, 0, 0, 3, 1, 9, 4, 0, 7, 1, 1, 9, 0, 7, 8, 9, 7, 3, 6, 1, 8, 0, 1, 4, 4, 6, 3, 8, 5, 6, 4, 9, 9, 0, 4, 4, 3, 4, 8, 4, 7, 0, 9, 9, 3, 6, 4, 0, 0, 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..100.

Example

x=1.216238809466393290599625767029343291154470...

Mathematica

a = 2; b = 3; 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] (* A198870 *)

Crossrefs

Cf. A198755.

Sequence in context: A292441 A333726 A306549 * A359273 A365048 A050457

Adjacent sequences: A198867 A198868 A198869 * A198871 A198872 A198873

Keyword

nonn,cons

Author

Clark Kimberling, Oct 31 2011

Status

approved