Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #2 Mar 30 2012 17:26:29
%S 45136,36137,10128,14267,12126,4455,10126,11197,5742,15316,17543,8305,
%T 5252,5252,12126,3852,3402,2553,4567,11117,8305,11427,6931,1017,3852,
%U 11615,1746,3375,6295,3678,5252,2363,5766,5517,1936,5528,2405,8305,1936
%N a(n) = smallest number m such that m^2 and n^2 share no common digits and m^2 and n^2 together use all 10 digits, a(n) = 0 if no such m exists.
%e a(1)=m=45136 because m^2=2037258496 and n^2=1 have no common digits and together use all 10 decimal digits;
%e a(2)=m=36137 because m^2=1305882769 and n^2=4 have no common digits and together use all 10 decimal digits;
%e first zero is a(304)=0 because 304^2=92416, "free" digits are {0,3,5,7,8} none of them can be last digit of square (zero can but this does not matter, also 5 can but only in combination 25 while 2 is not available for m^2);
%e similarly, a(353)=0 because 353^2=124609, and free digits are {3,5,7,8}. Values of n for which m=0 are in A158932.
%Y A158932
%K base,nonn
%O 1,1
%A _Zak Seidov_, Mar 31 2009