A200683 Decimal expansion of the lesser of two values of x satisfying 4*x^2 = tan(x) and 0 < x < Pi/2.

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

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

lesser:  0.2555899667465678034714126335398146...
greater: 1.4529161609165145187427486875904483...

Mathematica

a = 4; 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, .2, .3}, WorkingPrecision -> 110]
RealDigits[r](* A200683 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r](* A200684 *)

Crossrefs

Cf. A200614.

Sequence in context: A186501 A235452 A171438 * A286541 A078576 A256302

Adjacent sequences: A200680 A200681 A200682 * A200684 A200685 A200686

Keyword

nonn,cons

Author

Clark Kimberling, Nov 20 2011

Status

approved