login
A200423
Decimal expansion of least x>0 satisfying 4*x^2+4*x+3=tan(x).
2
1, 5, 1, 6, 0, 8, 1, 4, 9, 5, 9, 5, 8, 7, 8, 3, 8, 3, 3, 9, 1, 4, 0, 4, 1, 5, 5, 7, 3, 1, 0, 8, 6, 4, 1, 7, 0, 7, 6, 3, 2, 8, 4, 3, 9, 3, 7, 1, 5, 5, 8, 7, 3, 5, 7, 9, 3, 4, 3, 4, 1, 9, 6, 7, 7, 6, 1, 2, 8, 3, 8, 7, 8, 0, 9, 8, 1, 4, 7, 5, 5, 3, 0, 3, 7, 8, 0, 0, 7, 7, 1, 5, 0, 0, 9, 8, 1, 3, 7
OFFSET
1,2
COMMENTS
See A200338 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.5160814959587838339140415573108641707632843...
MATHEMATICA
a = 4; b = 4; c = 3;
f[x_] := a*x^2 + b*x + 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, 1.51, 1.52}, WorkingPrecision -> 110]
RealDigits[r] (* A200423 *)
CROSSREFS
Cf. A200338.
Sequence in context: A229096 A290797 A375066 * A176320 A190185 A331189
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 18 2011
STATUS
approved