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Search: id:A069748
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| A069748 |
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Numbers n such that n and n^3 are both palindromes. |
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+0
4
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| 0, 1, 2, 7, 11, 101, 111, 1001, 10001, 10101, 11011, 100001, 101101, 110011, 1000001, 1001001, 1100011, 10000001, 10011001, 10100101, 11000011, 100000001, 100010001, 100101001, 101000101, 110000011, 1000000001, 1000110001
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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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.
Perhaps this sequence is the same as A002780, except for 2201. [From Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Apr 16 2009]
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EXAMPLE
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phi(58085) = 46464, so 58085 is a term of the sequence.
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MATHEMATICA
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isPalin[n_] := (n == FromDigits[Reverse[IntegerDigits[n]]]); Do[m = n^3; If[isPalin[n] && isPalin[m], Print[{n, m}]], {n, 1, 10^6}]
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CROSSREFS
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Cf. A002780.
Adjacent sequences: A069745 A069746 A069747 this_sequence A069749 A069750 A069751
Sequence in context: A085315 A002780 A069885 this_sequence A064441 A110949 A126343
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KEYWORD
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base,nonn
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Apr 22 2002
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