A245761 - OEIS

%I #16 Jan 15 2023 18:09:46

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

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

%e 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.

%e This sequence is complete - there are no other terms. - _Alois P. Heinz_, Jul 31 2014

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

%K nonn,full,fini

%O 1,3

%A _Sergio Pimentel_, Jul 31 2014