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A200694 Decimal expansion of least x>0 satisfying 10-x^2=tan(x). 2
1, 4, 4, 5, 0, 6, 9, 1, 2, 8, 7, 0, 5, 3, 2, 7, 6, 0, 5, 7, 4, 1, 0, 8, 4, 4, 7, 9, 3, 0, 3, 6, 2, 4, 8, 9, 9, 8, 4, 0, 3, 2, 5, 8, 6, 4, 5, 4, 8, 4, 4, 5, 1, 4, 7, 2, 7, 1, 6, 4, 0, 6, 5, 1, 4, 0, 8, 4, 6, 7, 2, 6, 8, 5, 6, 4, 1, 7, 2, 7, 3, 7, 1, 4, 1, 1, 9, 3, 5, 0, 8, 0, 5, 8, 1, 5, 2, 3, 5 (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.

EXAMPLE

x=1.44506912870532760574108447930362489984032586454844...

MATHEMATICA

a = -1; c = 10;

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, 1.4, 1.5}, WorkingPrecision -> 110]

RealDigits[r]   (* A200694 *)

CROSSREFS

Cf. A200338.

Sequence in context: A111763 A159892 A255241 * A021696 A006581 A255902

Adjacent sequences:  A200691 A200692 A200693 * A200695 A200696 A200697

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 21 2011

STATUS

approved

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Last modified April 7 01:11 EDT 2020. Contains 333291 sequences. (Running on oeis4.)