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Numbers n such that the decimal expansion of 1/n is nonterminating and contains arbitrarily long palindromic substrings.
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%I #12 Mar 17 2015 02:16:21

%S 3,6,9,11,12,15,18,22,24,30,33,36,44,45,48,55,60,66,72,75,88,90,91,96,

%T 99,101,110,111,120,132,137,144,150,165,176,180,182,192,198,220,225,

%U 240,264,273,275,288,300,303,330,333,352,360,364,375,384,396,440,444

%N Numbers n such that the decimal expansion of 1/n is nonterminating and contains arbitrarily long palindromic substrings.

%C If n is a member, then 2n and 5n are usually also members; however, 2*101 and 5*91 are not members.

%e 91 is a member because 1/91 contains the palindromes 010, 010989010, 010989010989010, etc.

%K base,nonn

%O 1,1

%A _Donald S. McDonald_, Aug 22 2003

%E Edited and extended by _David Wasserman_, Jan 19 2006