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Decimal expansion of least x>0 satisfying 7*x^2=tan(x).

2

`%I #5 Mar 30 2012 18:58:01
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`%S 1,5,0,8,0,6,3,8,7,5,0,8,5,6,5,4,9,9,0,0,6,8,7,1,0,4,0,4,9,4,2,1,0,1,
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`%T 5,5,9,2,6,1,7,9,8,8,8,2,3,7,2,4,0,6,5,2,3,2,8,7,9,4,8,7,4,1,5,0,7,5,
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`%U 0,7,9,6,8,6,8,2,1,4,7,9,7,9,8,6,3,5,9,0,5,9,2,9,5,6,1,7,1,8,9
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`%N Decimal expansion of least x>0 satisfying 7*x^2=tan(x).
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`%C See A200614 for a guide to related sequences. The Mathematica program includes a graph.
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`%e x=1.50806387508565499006871040494210155926179888...
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`%t a = 7; c = 0;
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`%t f[x_] := a*x^2 - c; g[x_] := Tan[x]
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`%t Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
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`%t r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.51}, WorkingPrecision -> 110]
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`%t RealDigits[r] (* A200643 *)
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`%Y Cf. A200338.
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`%K nonn,cons
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`%O 1,2
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`%A _Clark Kimberling_, Nov 20 2011
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