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.

100, 105, 108, 200, 300, 400, 405, 500, 600, 700, 800, 900, 10000, 10101, 10200, 10206, 10500, 10800, 20000, 20202, 20400, 20500, 20805, 30000, 30303, 30600, 40000, 40404, 40500, 40800, 50000, 50505, 60000, 60606, 70000, 70500, 70707, 80000, 80808, 90000

Offset

1,1

Comments

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

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

Links

Table of n, a(n) for n=1..40.

Example

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

Crossrefs

Cf. A051022, A285176, A343550, A343551.

Sequence in context: A204584 A108343 A349771 * A204585 A128818 A204586

Adjacent sequences: A343549 A343550 A343551 * A343553 A343554 A343555

Keyword

nonn,base

Author

Lars Blomberg, Apr 19 2021

Status

approved