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Numbers k such that k and k^2 use only the digits 0, 3, 4, 5 and 9.
1

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

%S 0,3,30,300,3000,30000,30503,30903,300000,305030,309030,550503,950503,

%T 953903,3000000,3005003,3009003,3050300,3055003,3090300,5505030,

%U 9505030,9539030,30000000,30050030,30090030,30503000,30550030,30903000,55050300,95050300,95055003,95390300,300000000,300050003,300050503,300090003,300500300

%N Numbers k such that k and k^2 use only the digits 0, 3, 4, 5 and 9.

%C Generated with DrScheme.

%C See also A058429-A058430. - _M. F. Hasler_, Jan 24 2008

%H Jonathan Wellons, <a href="/A136929/b136929.txt">Table of n, a(n) for n = 1..352</a>

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

%e 950439335440903^2 = 903334930353345333433405455409.

%K base,nonn

%O 1,2

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