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A291211 Numbers k>1 such that k*k^(1/k) is closer to an integer than for any smaller number. 2
2, 5, 6, 15, 16, 46, 135, 136, 385, 1072, 21976, 59813, 59814, 162682, 162683, 442329, 1202506, 3268905, 24154808, 65659807, 485164995, 1318815513, 1318815514, 26489121842, 72004899025, 195729609091, 532048240237, 1446257063899 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The corresponding closest matching integers are given in A291212.

LINKS

Table of n, a(n) for n=1..28.

EXAMPLE

Let s(x) = x*x^(1/x), r(x) = round(s(x)), d(x) = abs(s(x)-r(x));

a(1) = 2:

  s(2) = 2.8284271...,

  r(2) = A291212(1) = 3,

  d(2) = 0.17157...;

a(2) = 5:

  s(5) = 6.8986483...,

  r(5) = A291212(2) = 7,

  d(5) = 0.10135169...;

a(3) = 6:

  s(6) = 8.0880369...,

  r(6) = A291212(3) = 8,

  d(6) = 0.08803692...;

a(4) = 15:

  s(15) = 17.96790087...,

  r(15) = A291212(4) = 18,

  d(18) = 0.03209912...;

a(5) = 16:

  s(16) = 19.02731384...,

  r(16) = A291212(5) = 19,

  d(19) = 0.02731384...;

CROSSREFS

Cf. A291210, A291212.

Sequence in context: A076624 A205385 A287203 * A193402 A193405 A037079

Adjacent sequences:  A291208 A291209 A291210 * A291212 A291213 A291214

KEYWORD

nonn

AUTHOR

Hugo Pfoertner, Aug 21 2017

STATUS

approved

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Last modified August 18 20:02 EDT 2019. Contains 326109 sequences. (Running on oeis4.)