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Numbers k such that k and k^2 use only the digits 0, 1, 4, 5 and 9.
1

%I #9 Jul 05 2021 02:55:40

%S 0,1,10,100,951,1000,1049,9510,10000,10490,95100,99499,99501,100000,

%T 100499,100501,100549,100951,104451,104900,105549,951000,951549,

%U 994990,995010,1000000,1004990,1005010,1005490,1009510,1044510,1049000,1055490,9510000,9515490,9949900,9950100,9994999,9995001,10000000,10004999,10005001,10005951

%N Numbers k such that k and k^2 use only the digits 0, 1, 4, 5 and 9.

%C Generated with DrScheme.

%H Jonathan Wellons, <a href="/A136858/b136858.txt">Table of n, a(n) for n = 1..1065</a>

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

%e 109501594095951^2 = 11990599109554410900994594401.

%Y Cf. A000290.

%K base,nonn

%O 1,3

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