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A200687 Decimal expansion of least x>0 satisfying 3-x^2=tan(x). 2
1, 0, 7, 4, 3, 0, 7, 6, 1, 9, 5, 9, 3, 5, 8, 9, 1, 7, 7, 1, 9, 6, 3, 6, 3, 6, 3, 4, 6, 2, 8, 6, 8, 7, 2, 2, 8, 6, 3, 7, 8, 6, 5, 2, 1, 6, 3, 2, 7, 4, 8, 5, 0, 2, 3, 8, 3, 7, 3, 8, 7, 0, 4, 1, 7, 5, 0, 6, 4, 8, 9, 9, 8, 3, 5, 1, 5, 7, 8, 2, 6, 7, 7, 6, 8, 1, 7, 2, 6, 7, 9, 4, 8, 4, 1, 1, 7, 2, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

See A200614 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

x=1.074307619593589177196363634628687228637...

MATHEMATICA

a = -1; c = 3;

f[x_] := a*x^2 + 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, 1.0, 1.1}, WorkingPrecision -> 110]

RealDigits[r]  (* A200687 *)

CROSSREFS

Cf. A200338.

Sequence in context: A225410 A248750 A071875 * A200121 A198348 A019857

Adjacent sequences:  A200684 A200685 A200686 * A200688 A200689 A200690

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 20 2011

STATUS

approved

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Last modified December 9 05:44 EST 2021. Contains 349627 sequences. (Running on oeis4.)