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Search: id:A110811
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| A110811 |
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Perfect powers whose digit reversal is also a perfect power, ( not necessarily with the same index, but the index > 1. |
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+0
2
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| 1, 4, 8, 9, 121, 144, 169, 343, 441, 484, 676, 961, 1089, 1331, 9801, 10201, 10404, 10609, 12321, 12544, 12769, 14641, 14884, 40401, 40804, 44521, 44944, 48841, 69696, 90601, 94249, 96721, 698896, 1002001, 1004004, 1006009, 1022121, 1024144
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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All palindromic perfect powers are trivial members, but there are infinitely many nontrivial members.
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EXAMPLE
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12^2 =144, digit reversal of 144 is 441= 21^2. 12769=113^2, reversal(12769) = 96721 = 311^2.
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CROSSREFS
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This is a subset of A115656 and also a subset of A001597. See also A118895 to include terms with trailing zeros.
Sequence in context: A083807 A098128 A118895 this_sequence A128827 A075786 A046450
Adjacent sequences: A110808 A110809 A110810 this_sequence A110812 A110813 A110814
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KEYWORD
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base,easy,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 15 2005
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EXTENSIONS
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Corrected and extended by Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 04 2006
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