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a(n) = smallest multiple of n which contains its base 10 reversal as a substring.
2

%I #22 Apr 07 2020 21:57:23

%S 1,2,3,4,5,6,7,8,9,1010,11,216,312,1414,510,1616,714,810,912,1020,126,

%T 22,322,2424,525,624,729,1820,928,3030,713,2304,33,3434,3535,3636,

%U 1073,836,936,1040,1148,924,344,44,540,644,1974,384,294,1050,153,2548,3551,1458,55,5656,4275,1856,295,3060

%N a(n) = smallest multiple of n which contains its base 10 reversal as a substring.

%C Leading 0's are kept in the reversal: e.g., a(10)=1010, not 10.

%H Ivan Neretin, <a href="/A181720/b181720.txt">Table of n, a(n) for n = 1..10000</a>

%o (Perl) foreach $n(1..60) {$r=reverse($_=$n); $_+=$n until m/$r/; print "$n $_\n"} # _Ivan Neretin_, Aug 12 2015

%Y Cf. A181721 (a(n)/n).

%K nonn,base

%O 1,2

%A _Claudio Meller_, Nov 17 2010

%E Edited by _D. S. McNeil_, Nov 17 2010