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Numbers k such that k and k^2 use only the digits 0, 1, 4, 8 and 9.
1

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

%S 0,1,9,10,90,99,100,109,141,441,900,901,990,999,1000,1009,1049,1090,

%T 1191,1410,4410,9000,9001,9010,9049,9900,9990,9999,10000,10009,10090,

%U 10099,10401,10441,10488,10490,10900,11910,14100,44100,90000,90001,90010,90100,90490,90498,99000,99001,99900,99990,99999,100000,100009,100090,100099,100491

%N Numbers k such that k and k^2 use only the digits 0, 1, 4, 8 and 9.

%C Generated with DrScheme.

%H Jonathan Wellons, <a href="/A136867/b136867.txt">Table of n, a(n) for n = 1..1132</a>

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

%e 91919010109^2 = 8449104419418444191881.

%K base,nonn

%O 1,3

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