A074205 Smallest positive integer whose n-th power contains an equal number of each digit (0-9) when represented in base 10.
1023456789, 32043, 2158479, 69636, 643905, 3470187, 421359, 1472157, 320127, 81785058, 15763347, 31064268, 44626422, 330096453, 85810806, 500282265, 2280602382, 711974055, 2748477954, 901992825, 3048377607, 3322858521, 175536645, 1427472867
Offset: 1
Examples
643905^5 = 110690152879433875483274690625, which contains 3 of each digit 0-9.
Programs
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PARI
{ a(n) = local(k,m,v); k=9; while(1, forstep(m=3*ceil(10^(k/n)/3), floor(10^((k+1)/n)), 3, t=m^n; v=vector(10); while(t, v[(t%10)+1]++; t\=10;); if(vecmin(v)==vecmax(v), return(m); ); ); k+=10) } \\ Max Alekseyev, May 20 2009
Extensions
a(10)-a(18) from Max Alekseyev, May 20 2009
a(19)-a(24) from Max Alekseyev, Feb 13 2012