A200644 Decimal expansion of least x>0 satisfying 8*x^2=tan(x).

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

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=1.516496282924123756012728352031579986526337...

Mathematica

a = 8; 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, 1.51, 1.52}, WorkingPrecision -> 110]
RealDigits[r]  (* A200644 *)

Crossrefs

Cf. A200338.

Sequence in context: A163336 A173898 A343344 * A318265 A318553 A176909

Adjacent sequences: A200641 A200642 A200643 * A200645 A200646 A200647

Keyword

nonn,cons

Author

Clark Kimberling, Nov 20 2011

Status

approved