A136945 - OEIS

A136945

Numbers k such that k and k^2 use only the digits 0, 3, 6, 8 and 9.

0, 3, 6, 30, 60, 63, 83, 300, 306, 600, 603, 630, 830, 833, 836, 3000, 3006, 3060, 6000, 6003, 6030, 6300, 8300, 8303, 8306, 8330, 8360, 9386, 9803, 30000, 30006, 30060, 30600, 30633, 60000, 60003, 60030, 60083, 60300, 63000, 83000, 83006, 83030, 83060, 83300, 83303, 83306, 83600, 89906, 93860, 96886, 98030, 98336, 99803, 300000, 300006, 300060, 300600

(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..1238

J. Wellons, Tables of Shared Digits [archived]

EXAMPLE

8308960830386^2 = 69038830080888806660908996.

MATHEMATICA

With[{c={0, 3, 6, 8, 9}}, Select[FromDigits/@Tuples[c, 6], SubsetQ[c, IntegerDigits[ #^2]]&]] (* Harvey P. Dale, Apr 19 2015 *)