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

%I #7 Apr 12 2024 09:51:26

%S 0,3,30,283,300,2830,2983,3000,28300,29830,29983,30000,30333,283000,

%T 283203,283233,298300,298803,299830,299983,300000,303330,2830000,

%U 2832030,2832330,2983000,2988030,2998300,2999830,2999983,3000000,3033300,28300000,28320300,28323300,29830000,29880300,29983000,29988003,29998300,29999830,29999983

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

%C Generated with DrScheme.

%H Jonathan Wellons, <a href="/A136896/b136896.txt">Table of n, a(n) for n = 1..470</a>

%H J. Wellons, <a href="https://web.archive.org/web/20090206165028/http://jonathanwellons.com/shared-digits/">Tables of Shared Digits</a> [archived]

%e 282892909082923^2 = 80028398009398938392890223929.

%K base,nonn

%O 1,2

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