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A343552 Numbers m such that for some number k dividing n, m is formed by inserting a digit 0 between each pair of digits of k. 2

%I #10 Apr 20 2021 10:34:47

%S 100,105,108,200,300,400,405,500,600,700,800,900,10000,10101,10200,

%T 10206,10500,10800,20000,20202,20400,20500,20805,30000,30303,30600,

%U 40000,40404,40500,40800,50000,50505,60000,60606,70000,70500,70707,80000,80808,90000

%N Numbers m such that for some number k dividing n, m is formed by inserting a digit 0 between each pair of digits of k.

%C If m is a term then so is m*10^(2i), i > 0.

%C If m is a term then so is m*i, 2 <= i <= 9 as long as no carry occurs in the multiplication.

%e 108 is a term because 108/18=6, and so is 1010805 because 1010805/1185=853.

%Y Cf. A051022, A285176, A343550, A343551.

%K nonn,base

%O 1,1

%A _Lars Blomberg_, Apr 19 2021

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Last modified July 15 14:07 EDT 2024. Contains 374332 sequences. (Running on oeis4.)