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A345392 a(n) is the least k > 1 such that n and k*n have the same set of decimal digits.

%I A345392 #9 Jun 21 2021 03:05:34
%S A345392 2,11,11,11,11,11,11,11,11,11,10,101,101,87,101,77,101,101,66,101,10,
%T A345392 101,101,14,101,9,87,101,101,101,10,43,101,101,101,101,101,101,101,87,
%U A345392 10,101,101,8,101,99,14,101,101,101,10,101,101,101,101,101,101,101
%N A345392 a(n) is the least k > 1 such that n and k*n have the same set of decimal digits.
%H A345392 Rémy Sigrist, <a href="/A345392/b345392.txt">Table of n, a(n) for n = 0..10000</a>
%F A345392 a(n) = A345391(n) / n for any n > 0.
%F A345392 a(n) = 2 for any n in A023086.
%o A345392 (PARI) a(n) = if (n==0, return (2)); { my (d=Set(digits(n))); forstep (m=2*n, oo, max(1, n), if (Set(digits(m))==d, return (m/n))) }
%o A345392 (Python)
%o A345392 def a(n):
%o A345392     k, ss = 2, set(str(n))
%o A345392     while set(str(k*n)) != ss: k += 1
%o A345392     return k
%o A345392 print([a(n) for n in range(58)]) # _Michael S. Branicky_, Jun 17 2021
%Y A345392 Cf. A023086, A345391.
%K A345392 nonn,base
%O A345392 0,1
%A A345392 _Rémy Sigrist_, Jun 17 2021