User blog comment:Alejandro Magno/Count to Infinity! (my style)/@comment-1605058-20140930201546

After 10 numbers, we will be able to jump by 10^1=10. After 9 of these, we will get to 100 and will be able to jump by 10^10. After one such jump, we will skip 8 powers of 10, and we will be able to skip 10^^10. Then we will skip 10^^9 powers of 10, roughly, sowe will be able to skip 10^^10^^9, roughly. So, with that, we will be able to get from n to around 10^^n, so, approximately, we will be getting numbers of form 10^^^m.