A200641 Decimal expansion of least x>0 satisfying 3*x^2+5=tan(x).

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

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=1.484911725425894557967623641784728083281754...

Mathematica

a = 3; c = -5;
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, 1.48, 1.49}, WorkingPrecision -> 110]
RealDigits[r] (* A200641 *)

Crossrefs

Cf. A200338.

Sequence in context: A205681 A059163 A091198 * A245780 A165267 A092159

Adjacent sequences: A200638 A200639 A200640 * A200642 A200643 A200644

Keyword

nonn,cons

Author

Clark Kimberling, Nov 20 2011

Status

approved