A136866 - OEIS

A136866

Numbers k such that k and k^2 use only the digits 0, 1, 4 and 8.

0, 1, 10, 100, 1000, 10000, 10401, 100000, 104010, 1000000, 1004001, 1040100, 10000000, 10040010, 10401000, 100000000, 100040001, 100400100, 104010000, 1000000000, 1000400010, 1004001000, 1040100000, 10000000000, 10000400001, 10004000100, 10040010000, 10401000000, 100000000000, 100004000010, 100040001000, 100400100000

(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..55

J. Wellons, Tables of Shared Digits [archived]

EXAMPLE

100004040010401^2 = 10000808018401884040188180801.

MATHEMATICA

With[{c={0, 1, 4, 8}}, Select[FromDigits/@Tuples[c, 12], SubsetQ[ c, IntegerDigits[ #^2]]&]] (* Harvey P. Dale, Oct 06 2020 *)