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

Author

Hugo Pfoertner, Aug 21 2017

Keywords

• nonn

Comments

The corresponding closest matching integers are given in A291212.

Examples

			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.