A197030 Decimal expansion of the shortest distance from x axis through (1,e) to y axis.

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

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=5.06095464375489251463012385045306440900...
x-intercept=(2.9477...,0)
y-intercept=(0,4.1138...)

Mathematica

f[x_] := x^2 + (k*x/(x - h))^2; t = h + (h*k^2)^(1/3);
h = 1; k = E; d = N[f[t]^(1/2), 100]
RealDigits[d] (* A197030 *)
x = N[t] (* x-intercept (h, k) *)
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 == .002, {x, 0, 4}, {y, 0, 5}], PlotRange -> All, AspectRatio -> Automatic]

Crossrefs

Cf. A197008.

Sequence in context: A004552 A130415 A197029 * A035550 A197508 A354683

Adjacent sequences: A197027 A197028 A197029 * A197031 A197032 A197033

Keyword

nonn,cons

Author

Clark Kimberling, Oct 10 2011

Status

approved