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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. 2
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 (list; graph; refs; listen; history; text; internal format)
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.

Sequence in context: A124113 A223157 A223155 * A093299 A196645 A196600

Adjacent sequences:  A308463 A308464 A308465 * A308467 A308468 A308469

KEYWORD

nonn,base

AUTHOR

David Radcliffe and Daniel Griller, May 28 2019

STATUS

approved

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Last modified August 10 04:49 EDT 2022. Contains 356029 sequences. (Running on oeis4.)