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Numbers k such that k and k^2 use only the digits 0, 1, 3, 4 and 9.
1

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

%S 0,1,3,10,30,100,300,1000,1049,1393,3000,10000,10490,10493,13930,

%T 30000,33903,44049,100000,100499,104900,104930,109499,139300,300000,

%U 339030,440490,1000000,1004990,1004993,1049000,1049300,1094990,1393000,3000000,3390300,4404900,10000000,10004999,10049900,10049930,10490000,10493000,10909143

%N Numbers k such that k and k^2 use only the digits 0, 1, 3, 4 and 9.

%C Generated with DrScheme.

%H Jonathan Wellons, <a href="/A136841/b136841.txt">Table of n, a(n) for n = 1..354</a>

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

%e 109091404309143^2 = 11900934494140903909113394449.

%K base,nonn

%O 1,3

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