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A197013 Decimal expansion of the shortest distance from x axis through (1,4) to y axis. 2
6, 6, 0, 3, 6, 6, 1, 0, 2, 4, 2, 3, 4, 0, 2, 9, 5, 8, 5, 8, 8, 6, 9, 4, 5, 2, 3, 7, 2, 9, 2, 8, 6, 5, 4, 8, 4, 8, 1, 7, 6, 2, 3, 2, 7, 9, 8, 7, 9, 1, 0, 6, 8, 1, 2, 6, 8, 1, 1, 8, 6, 7, 3, 9, 8, 5, 2, 0, 9, 7, 6, 3, 9, 1, 0, 5, 6, 7, 4, 1, 1, 1, 6, 6, 7, 8, 7, 8, 2, 1, 3, 3, 0, 7, 3, 1, 5, 8, 0, 2 (list; constant; graph; refs; listen; history; text; internal format)
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=6.60366102423402958588694523729286548481762327...

x-intercept=(3.5198...,0)

y-intercept=(0,5.5874...)

MATHEMATICA

f[x_] := x^2 + (k*x/(x - h))^2; t = h + (h*k^2)^(1/3);

h = 1; k = 4; d = N[f[t]^(1/2), 100]

RealDigits[d] (* A197013 *)

x = N[t] (* x-intercept *)

y = N[k*t/(t - h)] (* y-intercept *)

Show[Plot[k + k (x - h)/(h - t), {x, 0, t}],

ContourPlot[(x - h)^2 + (y - k)^2 == .003, {x, 0, 4}, {y, 0, 5}], PlotRange -> All, AspectRatio -> Automatic]

CROSSREFS

Cf. A197008.

Sequence in context: A005597 A281056 A273989 * A329092 A081825 A272648

Adjacent sequences:  A197010 A197011 A197012 * A197014 A197015 A197016

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 10 2011

STATUS

approved

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Last modified January 16 03:36 EST 2021. Contains 340195 sequences. (Running on oeis4.)