A200368 Decimal expansion of least x>0 satisfying 2*x^2+3*x+3=tan(x).

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

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=1.48683212223592901429768950945213424012682768999...

Mathematica

a = 2; b = 3; c = 3;
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]   (* A200368 *)

Crossrefs

Cf. A200338.

Sequence in context: A081455 A279160 A197290 * A322087 A142350 A011515

Adjacent sequences: A200365 A200366 A200367 * A200369 A200370 A200371

Keyword

nonn,cons

Author

Clark Kimberling, Nov 17 2011

Status

approved