A136944 Numbers k such that k and k^2 use only the digits 0, 3, 6, 7 and 9.

0, 3, 6, 30, 60, 63, 300, 306, 600, 603, 630, 3000, 3006, 3060, 6000, 6003, 6030, 6300, 30000, 30006, 30060, 30600, 60000, 60003, 60030, 60300, 63000, 63037, 79603, 300000, 300006, 300060, 300600, 306000, 600000, 600003, 600030, 600300, 603000, 630000, 630370, 796030, 796076, 3000000, 3000006, 3000060, 3000600, 3006000, 3060000, 6000000, 6000003

Offset

1,2

Comments

Generated with DrScheme.

Links

Jonathan Wellons, Table of n, a(n) for n = 1..753

J. Wellons, Tables of Shared Digits

Example

969067076796376^2 = 939090999330673300067366733376.

Mathematica

With[{ss={0, 3, 6, 7, 9}}, Select[FromDigits/@Tuples[ss, 7], SubsetQ[ ss, IntegerDigits[ #^2]]&]] (* Harvey P. Dale, May 29 2016 *)

Crossrefs

Sequence in context: A260906 A136894 A136939 * A136946 A125521 A211168

Adjacent sequences: A136941 A136942 A136943 * A136945 A136946 A136947

Keyword

base,nonn

Author

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

Status

approved