

A197031


Decimal expansion of the shortest distance from x axis through (1,sqrt(2)) to y axis.


1



3, 3, 9, 7, 3, 4, 6, 9, 5, 1, 0, 1, 7, 6, 9, 3, 4, 4, 1, 2, 7, 7, 9, 1, 3, 7, 5, 5, 5, 0, 1, 4, 1, 0, 7, 9, 0, 4, 8, 9, 4, 8, 3, 4, 8, 7, 5, 2, 7, 1, 7, 7, 6, 3, 8, 3, 9, 0, 1, 6, 2, 1, 4, 8, 3, 4, 9, 4, 4, 0, 2, 8, 9, 4, 5, 1, 6, 7, 8, 5, 1, 6, 6, 0, 9, 9, 1, 1, 3, 2, 6, 0, 6, 7, 1, 8, 4, 5, 9, 5
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OFFSET

1,1


COMMENTS

See A197008 for a discussion and guide to related sequences.


LINKS

Table of n, a(n) for n=1..100.


EXAMPLE

d=3.397346951017693441277913755501410790489483...
xintercept=(2.2599...,0)
yintercept=(0,2.5366...)


MATHEMATICA

f[x_] := x^2 + (k*x/(x  h))^2; t = h + (h*k^2)^(1/3);
h = 1; k = Sqrt[2]; d = N[f[t]^(1/2), 100]
RealDigits[d] (* A197031 *)
x = N[t] (* xintercept *)
y = N[k*t/(t  h)] (* yintercept *)
Show[Plot[k + k (x  h)/(h  t), {x, 0, t}],
ContourPlot[(x  h)^2 + (y  k)^2 == .001, {x, 0, 4}, {y, 0, 5}], PlotRange > All, AspectRatio > Automatic]


CROSSREFS

Cf. A197008.
Sequence in context: A200494 A156164 A198613 * A065483 A019745 A173815
Adjacent sequences: A197028 A197029 A197030 * A197032 A197033 A197034


KEYWORD

nonn,cons


AUTHOR

Clark Kimberling, Oct 10 2011


STATUS

approved



