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Smallest palindromic multiple of n in which the digit string of n appears as sandwiched between at least a pair of digits, or 0 if n = 10k or no such number exists.
1

%I #5 Dec 05 2013 19:56:16

%S 111,222,333,444,555,666,777,888,999,0,1111,82128,41314,414414,55155,

%T 61616,317713,41814,41914,0,912219,2222,52325,2324232,52525,82628,

%U 82728,828828,52925,0,2131312,23232,3333,2243422,535535,2136312,43734,88388

%N Smallest palindromic multiple of n in which the digit string of n appears as sandwiched between at least a pair of digits, or 0 if n = 10k or no such number exists.

%C Conjecture: a(n) = 0 iff n = 10k.

%K base,nonn

%O 1,1

%A _Amarnath Murthy_, May 26 2003

%E Corrected and extended by _Ray Chandler_, Jun 11 2003