9009009009

Appears in sequences

• a(1) = 9, a(n) = smallest palindromic multiple of a(n-1) obtained by inserting digits anywhere in a(n-1).at n=4A088780
• Proceeding from left to right, between any two consecutive digits (d_i, d_i+1) of an integer k, write down apart the lacking consecutive digits, in increasing order if d_i <d_i+1 or decreasing order if d_i>d_i+1. If abs(d_i - d_i+1) = 0 or 1 no digit is added. Sequence lists integers k that divide such resulting numbers.at n=24A381732