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Numbers k such that k and k^2 use only the digits 0, 1, 3, 5 and 9.
1

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

%S 0,1,3,10,30,100,300,1000,3000,10000,10503,30000,30501,100000,105030,

%T 300000,305010,550501,550503,1000000,1005003,1050300,1055003,3000000,

%U 3005001,3050100,3055001,5505010,5505030,10000000,10050030,10151503,10503000,10550030,10550503,10950503,30000000,30050010,30151503,30501000,30550010,30550501

%N Numbers k such that k and k^2 use only the digits 0, 1, 3, 5 and 9.

%C Generated with DrScheme.

%H Jonathan Wellons, <a href="/A136846/b136846.txt">Table of n, a(n) for n = 1..710</a>

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

%e 301913151510503^2 = 91151551055003939910519313009.

%K base,nonn

%O 1,3

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