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A308466
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Numbers n with the property that k*n and (k+1)*n have a common nonzero digit for all k.
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2
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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
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1,1
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COMMENTS
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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.
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LINKS
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David Radcliffe, Table of n, a(n) for n = 1..1263
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EXAMPLE
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99 is a term because each term of the arithmetic sequence {99, 198, 297, 396, ...} has a nonzero digit in common with the next.
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CROSSREFS
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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
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KEYWORD
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nonn,base
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AUTHOR
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David Radcliffe and Daniel Griller, May 28 2019
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STATUS
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approved
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