A200607 Decimal expansion of least x>0 satisfying 4*x^2-3*x+2=tan(x).

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

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=1.39374195420359050651953479560748441952648892709400...

Mathematica

a = 4; b = -3; c = 2;
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]    (* A200607 *)

Crossrefs

Cf. A200338.

Sequence in context: A197572 A224233 A021258 * A099319 A231828 A268580

Adjacent sequences: A200604 A200605 A200606 * A200608 A200609 A200610

Keyword

nonn,cons

Author

Clark Kimberling, Nov 19 2011

Status

approved