A200702 Decimal expansion of least x>0 satisfying 1-7*x^2=tan(x).

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

x=0.311278884175936867896799265688213218171523710...

Mathematica

a = -7; c = 1;
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, .3, .4}, WorkingPrecision -> 110]
RealDigits[r]   (* A200702 *)

Crossrefs

Cf. A200338.

Sequence in context: A086639 A204165 A329473 * A331599 A328901 A362019

Adjacent sequences: A200699 A200700 A200701 * A200703 A200704 A200705

Keyword

nonn,cons

Author

Clark Kimberling, Nov 21 2011

Status

approved