A200629 Decimal expansion of least x>0 satisfying 5*x^2+2=tan(x).

1, 4, 9, 5, 0, 4, 4, 8, 0, 5, 5, 6, 5, 1, 6, 7, 7, 4, 0, 1, 1, 5, 2, 3, 9, 3, 6, 2, 5, 4, 5, 5, 1, 6, 4, 4, 9, 5, 9, 6, 7, 8, 9, 7, 9, 7, 5, 8, 1, 1, 8, 6, 0, 1, 7, 8, 9, 9, 1, 6, 5, 8, 0, 7, 7, 7, 5, 8, 9, 0, 4, 4, 2, 1, 6, 0, 4, 8, 2, 1, 0, 7, 2, 5, 3, 7, 1, 7, 4, 1, 4, 5, 7, 5, 1, 9, 4, 1, 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=1.49504480556516774011523936254551644959678979...

Mathematica

a = 5; c = -2;
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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r]    (* A200629 *)

Crossrefs

Cf. A200338.

Sequence in context: A280441 A255290 A087369 * A021206 A365730 A121305

Adjacent sequences: A200626 A200627 A200628 * A200630 A200631 A200632

Keyword

nonn,cons

Author

Clark Kimberling, Nov 20 2011

Status

approved