A200383 Decimal expansion of least x>0 satisfying 2*x^2+4x+3=tan(x).

1, 4, 9, 6, 6, 7, 5, 5, 4, 8, 7, 8, 8, 8, 1, 6, 0, 6, 9, 0, 1, 6, 4, 1, 8, 4, 4, 9, 3, 8, 9, 0, 0, 6, 7, 1, 4, 5, 8, 7, 6, 7, 0, 2, 3, 6, 1, 7, 3, 6, 8, 9, 3, 4, 6, 9, 9, 5, 0, 2, 2, 3, 1, 8, 8, 4, 1, 2, 6, 4, 6, 0, 3, 6, 4, 6, 9, 5, 9, 0, 1, 5, 3, 4, 9, 3, 9, 5, 8, 2, 3, 8, 1, 2, 6, 8, 2, 1, 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=1.4966755487888160690164184493890067145876702...

Mathematica

a = 2; b = 4; 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]  (* A200383 *)

Crossrefs

Cf. A200338.

Sequence in context: A347215 A248866 A168608 * A199513 A360004 A236022

Adjacent sequences: A200380 A200381 A200382 * A200384 A200385 A200386

Keyword

nonn,cons

Author

Clark Kimberling, Nov 17 2011

Status

approved