%I A110751
%S A110751 1,2,3,4,5,6,7,8,9,11,22,33,44,55,66,77,88,99,101,111,121,131,141,151,
%T A110751 161,171,181,191,202,212,222,232,242,252,262,272,282,292,303,313,323,
%U A110751 333,343,353,363,373,383,393,404,414,424,434,444,454,464,474,484,494
%N A110751 Numbers n such that n and its digital reversal have same prime divisors.
%C A110751 Contains the palindromes A002113 as a subsequence. 1089 and 2178 are 
               the first two non-palindromic terms. Any number of concatenations 
               of 1089 with itself or 2178 with itself gives a term e.g. 10891089 
               etc. Hence there are infinitely many non-palindromic terms. They 
               are given in A110819.
%e A110751 1089 = 3^2*11^2, 9801 = 3^4*11^2.
%t A110751 Select[ Range[ 500], First /@ FactorInteger[ # ] == First /@ FactorInteger[ 
               FromDigits[ Reverse[ IntegerDigits[ # ]]]] &] (* Robert G. Wilson 
               v *)
%o A110751 (PARI) is_A110751(n)={ local(r=eval(concat(vecextract(Vec(Str(n)),"-1..1")))); 
               r==n || factor(r)[,1]==factor(n)[,1] } /* M. F. Hasler */
%Y A110751 Cf. A002113, A110819.
%Y A110751 Sequence in context: A044821 A048307 A043713 this_sequence A147882 A002113 
               A084982
%Y A110751 Adjacent sequences: A110748 A110749 A110750 this_sequence A110752 A110753 
               A110754
%K A110751 base,easy,nonn
%O A110751 1,2
%A A110751 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 11 2005
%E A110751 Edited and extended by Robert G. Wilson v (rgwv(at)rgwv.com), Sep 21 
               2005
%E A110751 Corrected comment, added PARI code. - M. F. Hasler (MHasler(AT)univ-ag.fr), 
               Nov 16 2008