A061660 Numbers k > 1 such that, in base 6, k and k^2 contain the same digits in the same proportion.

3697, 3940, 4802, 5845, 5905, 21127, 21715, 22182, 22867, 22897, 23380, 23640, 24367, 26815, 28812, 28910, 32192, 33705, 33815, 35000, 35065, 35070, 35430, 35977, 37082, 37712, 40277, 44535, 122915, 125947, 126762, 128350, 129670, 130290, 133092, 134397

Offset: 1

Author

Erich Friedman, Jun 16 2001

Keywords

• base
• easy
• nonn

Examples

			3697 = 25041_6 and 3697^2 = 1204540521_6.
		

Links

• Ray Chandler, Table of n, a(n) for n = 1..1000 (First 500 terms from Alois P. Heinz)

Crossrefs

Cf. A061656, A061657, A061658, A061659, A061661, A061662, A061663, A114258, A061664.

Programs

Maple

p:= n-> add(x^i, i=convert(n, base, 6)):
a:= proc(n) option remember; local k;
      for k from 1+`if`(n=1, 0, a(n-1))
      while p(k)*2<>p(k^2) do od; k
    end:
seq(a(n), n=1..50);  # Alois P. Heinz, May 10 2015

Extensions

Offset changed to 1 by Alois P. Heinz, May 10 2015