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A200636
Decimal expansion of the greater of two values of x satisfying 6*x^2 - 5 = tan(x) and 0 < x < Pi/2.
3
1, 4, 3, 5, 9, 7, 2, 7, 9, 7, 7, 4, 7, 7, 2, 7, 8, 3, 9, 7, 3, 7, 7, 5, 9, 5, 7, 1, 3, 6, 3, 1, 8, 0, 6, 3, 4, 7, 5, 2, 4, 1, 9, 4, 0, 1, 6, 2, 8, 5, 6, 2, 7, 2, 5, 4, 8, 4, 5, 2, 6, 7, 0, 5, 9, 8, 1, 8, 9, 4, 9, 9, 2, 6, 7, 0, 0, 1, 3, 6, 4, 5, 6, 5, 8, 9, 7, 8, 0, 1, 1, 3, 5, 1, 5, 1, 5, 6, 9
OFFSET
1,2
COMMENTS
See A200614 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
lesser: 1.0650216206187079002949359361195227...
greater: 1.4359727977477278397377595713631806...
MATHEMATICA
a = 6; c = 5;
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, 1.1}, WorkingPrecision -> 110]
RealDigits[r] (* A200635 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r] (* A200636 *)
CROSSREFS
Cf. A200614.
Sequence in context: A242910 A200350 A227684 * A229938 A226654 A124451
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 20 2011
STATUS
approved