A200341 Decimal expansion of least x>0 satisfying x^2+4=tan(x).

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

Offset

1,2

Comments

See A200338 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..101.

Example

x=1.4049378963781757888235227493280053174...

Mathematica

a = 1; b = 0; c = 4;
f[x_] := a*x^2 + b*x + 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, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r]   (* A200341 *)

Crossrefs

Cf. A200338.

Sequence in context: A345203 A088374 A156732 * A101980 A209134 A281297

Adjacent sequences: A200338 A200339 A200340 * A200342 A200343 A200344

Keyword

nonn,cons

Author

Clark Kimberling, Nov 16 2011

Status

approved