A200640 Decimal expansion of least x>0 satisfying 2*x^2+5=tan(x).

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

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=1.463493531587816787401647053797898269263604444...

Mathematica

a = 2; 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, 1.46, 1.47}, WorkingPrecision -> 110]
RealDigits[r]  (* A200640 *)

Crossrefs

Cf. A200338.

Sequence in context: A244020 A179374 A081709 * A179453 A273819 A276761

Adjacent sequences: A200637 A200638 A200639 * A200641 A200642 A200643

Keyword

nonn,cons

Author

Clark Kimberling, Nov 20 2011

Status

approved