A136815 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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 *)