A136852 Numbers k such that k and k^2 use only the digits 0, 1, 3, 8 and 9.

0, 1, 3, 9, 10, 30, 33, 90, 99, 100, 109, 300, 303, 330, 333, 900, 901, 990, 999, 1000, 1009, 1090, 3000, 3003, 3030, 3033, 3300, 3303, 3330, 3333, 8991, 9000, 9001, 9010, 9391, 9900, 9990, 9999, 10000, 10009, 10090, 10099, 10900, 10901, 11803, 30000, 30003, 30030, 30033, 30300, 30330, 31833, 33000, 33003, 33030, 33300, 33303, 33330, 33333, 89891

Offset

1,3

Comments

Generated with DrScheme.

Links

Jonathan Wellons, Table of n, a(n) for n = 1..1423

J. Wellons, Tables of Shared Digits [archived]

Example

30303989891^2 = 918331803313830191881.

Mathematica

With[{d={0, 1, 3, 8, 9}}, Select[FromDigits/@Tuples[d, 5], SubsetQ[d, IntegerDigits[ #^2]]&]] (* Harvey P. Dale, Mar 27 2015 *)

Crossrefs

Sequence in context: A305091 A282635 A308084 * A031115 A004669 A173242

Adjacent sequences: A136849 A136850 A136851 * A136853 A136854 A136855

Keyword

base,nonn,changed

Author

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

Status

approved