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

1,3

Comments

Generated with DrScheme.

Links

Jonathan Wellons, Table of n, a(n) for n = 1..1138

J. Wellons, Tables of Shared Digits [archived]

Example

302013293123^2 = 91212029222999119093129.

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 *)

Crossrefs

Sequence in context: A344892 A357555 A078306 * A119223 A119165 A119080

Adjacent sequences: A136812 A136813 A136814 * A136816 A136817 A136818

Keyword

base,nonn,changed

Author

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

Status

approved