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%I #14 Apr 21 2024 14:29:21
%S 1,9,141,441,941,1191,99559,118988,445488,999559,9958988,44544191,
%T 445919891,941195441,994458891,9195411891,9459859859,9994941191,
%U 11898949191,44551594191,44555449891,94858548141,99498181488,445145914891,445584958891,919184195441,945944814191,9189418814859,9195188958988,9444544454559
%N Numbers k such that k and k^2 use only the digits 1, 4, 5, 8 and 9.
%C Generated with DrScheme.
%C Conjecture: The only squares present in the sequence are 1, 9, and 441. - _Stefano Spezia_, Apr 18 2024
%H Jonathan Wellons, <a href="/A137051/b137051.txt">Table of n, a(n) for n = 1..49</a>
%H Jonathan Wellons, <a href="https://web.archive.org/web/20090206165028/http://jonathanwellons.com/shared-digits/">Tables of Shared Digits</a> [archived]
%e 95819859194191^2 = 9181445415994589515848144481.
%t Select[Range[10^6],SubsetQ[{1,4,5,8,9},Union[IntegerDigits[#],IntegerDigits[#^2]]]&] (* _Stefano Spezia_, Apr 18 2024 *)
%K base,nonn,changed
%O 1,2
%A Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008
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