A136927 Numbers k such that k and k^2 use only the digits 0, 3, 4, 5 and 6.

0, 6, 60, 66, 600, 656, 660, 666, 6000, 6560, 6600, 6660, 6666, 60000, 63566, 65600, 66000, 66600, 66660, 66666, 600000, 603656, 604434, 635660, 656000, 660000, 660656, 666000, 666600, 666660, 666666, 6000000, 6036560, 6044340, 6356600, 6560000, 6600000, 6606560, 6660000, 6666000, 6666600, 6666660, 6666666, 60000000, 60054434, 60365600

Offset: 1

Author

Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008

Keywords

• base
• nonn

Comments

Generated with DrScheme.

See also A058429-A058430. - M. F. Hasler, Jan 24 2008

Examples

			665605465350506^2 = 443030635504463643353434456036.
		

Links

• Jonathan Wellons, Table of n, a(n) for n = 1..495
• J. Wellons, Tables of Shared Digits [archived]

Programs

Mathematica

With[{c={0,3,4,5,6},nn=8},Select[FromDigits/@Tuples[c,nn],SubsetQ[ c,IntegerDigits[ #^2]]&]] (* Harvey P. Dale, Apr 27 2022 *)