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Search: id:A074205
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| A074205 |
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Smallest positive integer whose n-th power contains an equal number of each digit (0-9) when represented in base 10. |
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+0
7
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| 1023456789, 32043, 2158479, 69636, 643905, 3470187, 421359, 1472157, 320127, 81785058, 15763347, 31064268, 44626422, 330096453, 85810806, 500282265, 2280602382, 711974055
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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643905^5 == 110690152879433875483274690625, which contains 3 of each digit 0-9.
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PROGRAM
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(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]
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CROSSREFS
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Sequence in context: A048939 A095733 A020666 this_sequence A061604 A050278 A051018
Adjacent sequences: A074202 A074203 A074204 this_sequence A074206 A074207 A074208
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KEYWORD
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base,more,nonn
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AUTHOR
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Jack Brennen (jb(AT)brennen.net), Sep 17 2002
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EXTENSIONS
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a(10)..a(18) from Max Alekseyev (maxale(AT)gmail.com), May 20 2009
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