A200696 Decimal expansion of least x>0 satisfying 3-2*x^2=tan(x).

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

Offset

0,1

Comments

See A200614 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Example

x=0.9190524553326735121599531905394635632757788...

Mathematica

a = -2; c = 3;
f[x_] := a*x^2 + c; g[x_] := Tan[x]
Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .91, .92}, WorkingPrecision -> 110]
RealDigits[r]   (* A200696 *)

Crossrefs

Cf. A200338.

Sequence in context: A362752 A231931 A175615 * A203130 A209050 A010690

Adjacent sequences: A200693 A200694 A200695 * A200697 A200698 A200699

Keyword

nonn,cons

Author

Clark Kimberling, Nov 21 2011

Status

approved