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

1,1

Links

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

Formula

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

Prog

(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

Crossrefs

Cf. A020338, A029793, A276769.

Sequence in context: A302801 A067042 A078273 * A065571 A064544 A083967

Adjacent sequences: A345388 A345389 A345390 * A345392 A345393 A345394

Keyword

nonn,base,easy

Author

Rémy Sigrist, Jun 17 2021

Status

approved