A232712 Least positive k (not a power of 10) such that k and k^n have the same set of digits.

2, 4762, 107624, 35641, 39568, 1380796, 12635940, 40837596, 102349857, 102567384, 106342987, 129046873, 107623945, 231940678, 239607415, 368709154, 1023456789, 164758903, 176384592, 1023456789, 1023456789, 1023456789, 1023456789, 1023456789, 1023456789

Offset: 1

Author

Arkadiusz Wesolowski, Nov 28 2013

Keywords

• nonn
• base

Comments

a(17) and a(20)-a(40) = A050278(1) = 1023456789, the smallest pandigital number. [Lars Blomberg, Dec 10 2013]

Links

• Lars Blomberg, Table of n, a(n) for n = 1..40

Crossrefs

Cf. A171102, A029793, A029795, A232659-A232662.

Programs

PARI

for(n=1, 6, k=1; until(Set(Vec(Str(k)))==Set(Vec(Str(k^n)))&&!(sumdigits(k)==1), k++); print1(k, ", "));

Extensions

a(14)-a(25) from Lars Blomberg, Dec 10 2013