A136944 - OEIS

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

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

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 [archived]

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 *)