A291210 -id:A291210 - cp's OEIS frontend

A291211 Numbers k>1 such that k*k^(1/k) is closer to an integer than for any smaller number.

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

Offset: 1

Hugo Pfoertner, Aug 21 2017

nonn

The corresponding closest matching integers are given in A291212.

			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...;

Cf. A291210, A291212.

A291212 Numbers that can be approximated in increasing quality by k*k^(1/k).

Original entry on oeis.org

3, 7, 8, 18, 19, 50, 140, 141, 391, 1079, 21986, 59824, 59825, 162694, 162695, 442342, 1202520, 3268920, 24154825, 65659825, 485165015, 1318815534, 1318815535, 26489121866, 72004899050, 195729609117, 532048240264, 1446257063927

Offset: 1

Hugo Pfoertner, Aug 21 2017

nonn

Best matches corresponding to k=A291211(n).

			See A291211.

Cf. A291210, A291211.

cp's OEIS Frontend

A291211 Numbers k>1 such that k*k^(1/k) is closer to an integer than for any smaller number.

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