A200630 Decimal expansion of least x>0 satisfying 5*x^2+3=tan(x).

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

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=1.500794081535079381882252476557571752326596214...

Mathematica

a = 5; c = -3;
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, 1.5, 1.51}, WorkingPrecision -> 110]
RealDigits[r]   (* A200630 *)

Crossrefs

Cf. A200338.

Sequence in context: A254293 A263496 A308224 * A198225 A256929 A068459

Adjacent sequences: A200627 A200628 A200629 * A200631 A200632 A200633

Keyword

nonn,cons

Author

Clark Kimberling, Nov 20 2011

Status

approved