A200396 Decimal expansion of least x>0 satisfying 3*x^2+3*x+2=tan(x).

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

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=1.49513579316630331042452266882581486292407205760...

Mathematica

a = 3; 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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r]   (* A200396 *)

Crossrefs

Cf. A200338.

Sequence in context: A365730 A121305 A002904 * A011513 A340350 A164818

Adjacent sequences: A200393 A200394 A200395 * A200397 A200398 A200399

Keyword

nonn,cons

Author

Clark Kimberling, Nov 17 2011

Status

approved