Search: id:A074205
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%I A074205
%S A074205 1023456789,32043,2158479,69636,643905,3470187,421359,1472157,320127,
%T A074205 81785058,15763347,31064268,44626422,330096453,85810806,500282265,
%U A074205 2280602382,711974055
%N A074205 Smallest positive integer whose n-th power contains an equal number of 
               each digit (0-9) when represented in base 10.
%e A074205 643905^5 == 110690152879433875483274690625, which contains 3 of each 
               digit 0-9.
%o A074205 (PARI) { a(n) = local(k,m,v); k=9; while(1, for(m=ceil(10^(k/n)),floor(10^((k+1)/
               n)), t=m^n; v=vector(10); while(t, v[(t%10)+1]++; t\=10;); if(vecmin(v)==vecmax(v), 
               return(m); ); ); k+=10) } [From Max Alekseyev (maxale(AT)gmail.com), 
               May 20 2009]
%Y A074205 Sequence in context: A048939 A095733 A020666 this_sequence A061604 A050278 
               A051018
%Y A074205 Adjacent sequences: A074202 A074203 A074204 this_sequence A074206 A074207 
               A074208
%K A074205 base,more,nonn
%O A074205 1,1
%A A074205 Jack Brennen (jb(AT)brennen.net), Sep 17 2002
%E A074205 a(10)..a(18) from Max Alekseyev (maxale(AT)gmail.com), May 20 2009

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