A308466 - OEIS

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A308466

Numbers n with the property that k*n and (k+1)*n have a common nonzero digit for all k.

99, 990, 999, 1998, 2997, 3996, 3999, 4992, 4995, 5994, 6875, 6993, 6996, 7992, 8125, 8704, 8991, 9856, 9900, 9984, 9990, 9999, 10989, 13299, 19456, 19899, 19943, 19980, 19994, 19995, 19998, 21875, 22496, 23199, 24999, 28995, 29492, 29952, 29970, 29991, 29997

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OFFSET

1,1

COMMENTS

If n is a term then 10*n is also a term, and conversely.

Every number of the form 10^d - 1 with d > 1 is a term.

LINKS

David Radcliffe, Table of n, a(n) for n = 1..1263

EXAMPLE

99 is a term because each term of the arithmetic sequence {99, 198, 297, 396, ...} has a nonzero digit in common with the next.

CROSSREFS

These are the indices n for which A308479(n) = 0.