A245761 Numbers with a maximal multiplicative persistence of 1 in any base.

0, 1, 2, 3, 4, 5, 6, 7, 9, 12

Offset

1,3

Links

Table of n, a(n) for n=1..10.

Example

12 is in the sequence since the persistence of 12 is at most 1 in any base. I.e. it takes at most one step to go from 12 to a single digit in any base, e.g., in base 2 we have 1100 -> 0. In base 5 we have 22 -> 4. In bases 12 and above the initial number is already a single digit.
This sequence is complete - there are no other terms. - Alois P. Heinz, Jul 31 2014

Crossrefs

Cf. A003001, A031346, A064867, A064868, A046510, A245760.

Sequence in context: A336733 A072966 A363246 * A371248 A059759 A042952

Adjacent sequences: A245758 A245759 A245760 * A245762 A245763 A245764

Keyword

nonn,full,fini

Author

Sergio Pimentel, Jul 31 2014

Status

approved