A345391 a(n) is the least proper multiple of n with the same set of decimal digits as n.

11, 22, 33, 44, 55, 66, 77, 88, 99, 100, 1111, 1212, 1131, 1414, 1155, 1616, 1717, 1188, 1919, 200, 2121, 2222, 322, 2424, 225, 2262, 2727, 2828, 2929, 300, 1333, 3232, 3333, 3434, 3535, 3636, 3737, 3838, 3393, 400, 4141, 4242, 344, 4444, 4455, 644, 4747

Offset: 1

Author

Rémy Sigrist, Jun 17 2021

Keywords

• nonn
• base
• easy

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A020338, A029793, A276769.

Programs

PARI

a(n) = { my (d=Set(digits(n))); forstep (m=2*n, oo, n, if (Set(digits(m))==d, return (m))) }

Python

def a(n):
    kn, ss = 2*n, set(str(n))
    while set(str(kn)) != ss: kn += n
    return kn
print([a(n) for n in range(1, 49)]) # Michael S. Branicky, Jun 17 2021

Formula

a(n) <= A020338(n) for any n > 0.