A200609 Decimal expansion of least x>0 satisfying 4*x^2-3*x+4=tan(x).

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

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=1.4469606861488195438088688614739950139083762...

Mathematica

a = 4; b = -3; 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]   (* A200609 *)

Crossrefs

Cf. A200338.

Sequence in context: A074161 A201401 A163925 * A343985 A128037 A102414

Adjacent sequences: A200606 A200607 A200608 * A200610 A200611 A200612

Keyword

nonn,cons

Author

Clark Kimberling, Nov 19 2011

Status

approved