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A200623 Decimal expansion of the greater of two values of x satisfying 5*x^2-2=tan(x) and 0<x<pi/2. 3
1, 4, 5, 4, 7, 9, 9, 2, 1, 3, 5, 1, 9, 9, 9, 5, 5, 2, 6, 3, 7, 0, 7, 8, 4, 3, 0, 0, 7, 9, 8, 9, 4, 4, 5, 8, 9, 0, 1, 2, 6, 0, 8, 7, 1, 2, 0, 1, 7, 0, 7, 4, 3, 1, 5, 0, 0, 2, 1, 9, 3, 2, 6, 9, 3, 9, 2, 3, 5, 3, 2, 2, 1, 5, 8, 0, 0, 0, 6, 1, 6, 9, 5, 4, 5, 8, 6, 7, 0, 2, 0, 8, 8, 7, 6, 7, 1, 9, 2 (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

lesser:  0.770896883914277182837264927358706321868754...

greater: 1.4547992135199955263707843007989445890126087...

MATHEMATICA

a = 5; c = 2;

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, .7, .8}, WorkingPrecision -> 110]

RealDigits[r]    (* A200622 *)

r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]

RealDigits[r]   (* A200623 *)

CROSSREFS

Cf. A200614.

Sequence in context: A074967 A021877 A278713 * A248671 A232635 A201296

Adjacent sequences:  A200620 A200621 A200622 * A200624 A200625 A200626

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 20 2011

STATUS

approved

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Last modified January 22 13:41 EST 2020. Contains 331149 sequences. (Running on oeis4.)