A074205 - OEIS

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

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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