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A200690 Decimal expansion of least x>0 satisfying 6-x^2=tan(x). 2
1, 3, 3, 7, 6, 2, 8, 4, 7, 2, 7, 2, 8, 0, 0, 8, 4, 8, 8, 4, 7, 1, 5, 7, 8, 3, 8, 8, 4, 1, 8, 8, 4, 5, 7, 0, 8, 7, 5, 8, 7, 1, 1, 0, 2, 0, 6, 7, 7, 3, 1, 8, 4, 9, 6, 4, 3, 6, 7, 9, 6, 3, 0, 9, 8, 8, 4, 2, 0, 5, 6, 8, 3, 5, 0, 3, 1, 7, 2, 3, 1, 3, 8, 2, 3, 8, 2, 1, 4, 8, 3, 6, 5, 6, 4, 0, 5, 6, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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.

MAPLE

x=1.3376284727280084884715783884188457087587110...

MATHEMATICA

a = -1; c = 6;

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, 1.3, 1.4}, WorkingPrecision -> 110]

RealDigits[r]   (* A200690 *)

CROSSREFS

Cf. A200338.

Sequence in context: A324866 A290673 A290418 * A045773 A256700 A175039

Adjacent sequences:  A200687 A200688 A200689 * A200691 A200692 A200693

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 21 2011

STATUS

approved

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Last modified April 9 10:52 EDT 2020. Contains 333348 sequences. (Running on oeis4.)