Search: id:A069748
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%I A069748
%S A069748 0,1,2,7,11,101,111,1001,10001,10101,11011,100001,101101,110011,1000001,
%T A069748 1001001,1100011,10000001,10011001,10100101,11000011,100000001,
%U A069748 100010001,100101001,101000101,110000011,1000000001,1000110001
%N A069748 Numbers n such that n and n^3 are both palindromes.
%C A069748 For an arithmetical function f, call the pairs (x,y) such that y = f(x) 
               and x, y are palindromes the "palinpairs" of f. a(n) is then the 
               sequence of abcissae of palinpairs of f(n) = n^3.
%C A069748 Perhaps this sequence is the same as A002780, except for 2201. [From 
               Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Apr 16 2009]
%e A069748 phi(58085) = 46464, so 58085 is a term of the sequence.
%t A069748 isPalin[n_] := (n == FromDigits[Reverse[IntegerDigits[n]]]); Do[m = n^3; 
               If[isPalin[n] && isPalin[m], Print[{n, m}]], {n, 1, 10^6}]
%Y A069748 Cf. A002780.
%Y A069748 Sequence in context: A085315 A002780 A069885 this_sequence A064441 A110949 
               A126343
%Y A069748 Adjacent sequences: A069745 A069746 A069747 this_sequence A069749 A069750 
               A069751
%K A069748 base,nonn
%O A069748 1,3
%A A069748 Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Apr 22 2002

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