[seqfan] a(n+1) is the multiple of at least one digit of a(n)

[Eric Angelini]

Hello SeqFans,
I guess this is a permutation of the Naturals:

a(n+1) is the smallest integer not yet in the sequence such that
a(n+1) is the multiple of at least one digit of a(n):

S=1,2,4,8,16,3,6,12,5,10,7,14,9,18,11,13,15,17,19,20,22,24,...

[22 is in S because 22 is 11 times 2 -- this 2 being a digit of
20; 22 is the smallest available integer because 21 is neither
a multiple of 2 or a multiple of 0]

Best,
É.