[seqfan] Re: Division with no visible digits

[Hans Havermann]

I wrote: ".. do not write your decimal expansions with a leading zero."

By which I meant that (for example) 15000 after 1025 (= .068333..) is acceptable because the zero after the decimal point is still leading.

Maximilian Hasler: "Eric, any such sequence will be finite and stop probably way before reaching 1023456789."

Pandigital numbers (as with, for instance, positive powers of ten) cannot appear in Eric's (redefined) sequence. Even a near-pandigital number may never actually make an appearance because of the difficulty of having such a number divided into its preceding term being composed only of the unused digits. Many numbers are simply skipped. Their existence outside the sequence is no impediment to the sequence continuing. Having said that, the sequence may indeed be finite. Or not. Consider a smallish term, say 63125, followed by a number greater than (say) one million. Does such a number exist?