A136815 Numbers k such that k and k^2 use only the digits 0, 1, 2, 3 and 9.

0, 1, 3, 10, 11, 30, 100, 101, 110, 111, 139, 300, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1390, 3000, 10000, 10001, 10010, 10011, 10100, 10101, 10110, 10111, 10923, 11000, 11001, 11010, 11100, 11101, 13900, 30000, 30203, 100000, 100001, 100010, 100011, 100100, 100101, 100110, 100111, 101000, 101001, 101010, 101011, 101100, 101110, 109139

Offset: 1

Author

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

Keywords

• base
• nonn

Comments

Generated with DrScheme.

Examples

			302013293123^2 = 91212029222999119093129.
		

Links

• Jonathan Wellons, Table of n, a(n) for n = 1..1138
• J. Wellons, Tables of Shared Digits [archived]

Programs

Mathematica

With[{c={0,1,2,3,9},nn=6},Select[FromDigits/@Tuples[c,nn],SubsetQ[ c,IntegerDigits[ #^2]]&]] (* Harvey P. Dale, Oct 10 2022 *)