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

1,1

Links

Table of n, a(n) for n=1..24.

Example

643905^5 = 110690152879433875483274690625, which contains 3 of each digit 0-9.

Prog

(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

Crossrefs

Sequence in context: A095733 A239919 A020666 * A277054 A218770 A292569

Adjacent sequences: A074202 A074203 A074204 * A074206 A074207 A074208

Keyword

base,nonn

Author

Jack Brennen, Sep 17 2002

Extensions

a(10)-a(18) from Max Alekseyev, May 20 2009

a(19)-a(24) from Max Alekseyev, Feb 13 2012

Status

approved