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Numbers k such that k and k^2 use only the digits 0, 1, 2, 4 and 9.
2

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

%S 0,1,2,10,11,12,20,21,49,100,101,102,110,120,149,200,201,210,212,490,

%T 499,1000,1001,1002,1010,1011,1012,1020,1021,1049,1100,1101,1102,1200,

%U 1201,1411,1421,1429,1490,2000,2001,2010,2011,2100,2101,2120,4499,4900,4990,4999,10000,10001,10002,10010,10011,10012,10020,10021,10100,10110,10120,10200,10210

%N Numbers k such that k and k^2 use only the digits 0, 1, 2, 4 and 9.

%C Generated with DrScheme.

%H Jonathan Wellons, <a href="/A136821/b136821.txt">Table of n, a(n) for n = 1..1064</a>

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

%e 490940149^2 = 241022229900142201.

%K base,nonn

%O 1,3

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