A200360 Decimal expansion of least x>0 satisfying 2*x^2+x+1=tan(x).

1, 4, 1, 6, 4, 9, 7, 8, 3, 4, 1, 7, 8, 0, 0, 1, 3, 0, 2, 3, 8, 7, 9, 2, 6, 6, 8, 6, 2, 7, 1, 0, 0, 2, 9, 1, 7, 7, 9, 8, 4, 0, 3, 9, 5, 7, 6, 9, 1, 4, 6, 0, 4, 0, 7, 0, 7, 5, 6, 3, 9, 8, 0, 6, 1, 4, 9, 1, 8, 4, 9, 2, 3, 4, 8, 3, 5, 0, 6, 8, 1, 8, 1, 1, 8, 9, 5, 5, 2, 8, 2, 4, 8, 0, 2, 9, 1, 6, 1, 5, 6, 6, 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..103.

Example

x=1.41649783417800130238792668627100291779840...

Mathematica

a = 2; b = 1; c = 1;
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]   (* A200360 *)

Crossrefs

Cf. A200338.

Sequence in context: A329428 A288469 A076717 * A228451 A324056 A120422

Adjacent sequences: A200357 A200358 A200359 * A200361 A200362 A200363

Keyword

nonn,cons

Author

Clark Kimberling, Nov 17 2011

Status

approved