A198930 Decimal expansion of x>0 satisfying 3*x^2-2*cos(x)=3.

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

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=1.132630849482780708087800651572877898960265...

Mathematica

a = 3; 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, 1.2}, WorkingPrecision -> 110]
RealDigits[r] (* A198930 *)

Crossrefs

Cf. A198755.

Sequence in context: A092843 A078589 A077880 * A263353 A248945 A131969

Adjacent sequences: A198927 A198928 A198929 * A198931 A198932 A198933

Keyword

nonn,cons

Author

Clark Kimberling, Oct 31 2011

Status

approved