A200603 Decimal expansion of least x>0 satisfying 4*x^2-x+4=tan(x).

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

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..99.

Example

x=1.48260749218163404963885079674558707595431519440...

Mathematica

a = 4; b = -1; 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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r]   (* A200603 *)

Crossrefs

Cf. A200338.

Sequence in context: A019954 A072616 A059627 * A159591 A270857 A113307

Adjacent sequences: A200600 A200601 A200602 * A200604 A200605 A200606

Keyword

nonn,cons

Author

Clark Kimberling, Nov 19 2011

Status

approved