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A200364
Decimal expansion of least x>0 satisfying 2*x^2+2*x+1=tan(x).
2
1, 4, 4, 7, 7, 7, 5, 5, 3, 8, 4, 2, 8, 4, 9, 3, 9, 8, 1, 4, 0, 8, 3, 9, 9, 1, 7, 2, 4, 7, 4, 7, 7, 9, 8, 3, 2, 8, 0, 6, 1, 6, 2, 9, 0, 9, 0, 3, 8, 3, 7, 3, 6, 7, 1, 7, 4, 0, 7, 6, 9, 3, 6, 8, 0, 8, 3, 4, 4, 3, 4, 3, 4, 5, 3, 2, 5, 0, 1, 7, 0, 3, 6, 0, 6, 6, 4, 0, 9, 6, 9, 6, 7, 1, 1, 7, 9, 6, 7
OFFSET
1,2
COMMENTS
See A200338 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.447775538428493981408399172474779832806162909038...
MATHEMATICA
a = 2; b = 2; c = 1;
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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r] (* A200364 *)
CROSSREFS
Cf. A200338.
Sequence in context: A016711 A023404 A140245 * A147814 A168233 A238391
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 17 2011
STATUS
approved