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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

%I #17 Jun 11 2019 05:39:17

%S 99,990,999,1998,2997,3996,3999,4992,4995,5994,6875,6993,6996,7992,

%T 8125,8704,8991,9856,9900,9984,9990,9999,10989,13299,19456,19899,

%U 19943,19980,19994,19995,19998,21875,22496,23199,24999,28995,29492,29952,29970,29991,29997

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

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

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

%H David Radcliffe, <a href="/A308466/b308466.txt">Table of n, a(n) for n = 1..1263</a>

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

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

%K nonn,base

%O 1,1

%A _David Radcliffe_ and Daniel Griller, May 28 2019

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