A200632 Decimal expansion of least x>0 satisfying 6*x^2=tan(x).

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

x=1.4965136482672541708407667691980883707212084901...

Mathematica

a = 6; c = 0;
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, 1.5, 1.51}, WorkingPrecision -> 110]
RealDigits[r]   (* A200632 *)

Crossrefs

Cf. A200338.

Sequence in context: A201415 A363939 A094090 * A186723 A008959 A316347

Adjacent sequences: A200629 A200630 A200631 * A200633 A200634 A200635

Keyword

nonn,cons

Author

Clark Kimberling, Nov 20 2011

Status

approved