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Search: id:A128921
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| A128921 |
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Palindromes p such that reverse of p^2 is also a square. |
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+0
3
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| 0, 1, 2, 3, 11, 22, 33, 99, 101, 111, 121, 202, 212, 1001, 1111, 2002, 10001, 10101, 10201, 11011, 11111, 11211, 20002, 20102, 100001, 101101, 110011, 111111, 200002, 1000001, 1001001, 1002001, 1010101, 1011101, 1012101, 1100011, 1101011
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Most terms have a palindromic square; for the rare exceptions see A133901. (Klaus Brockhaus and Zak Seidov, Sep 29 2007)
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LINKS
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Klaus Brockhaus, Table of n, a(n) for n = 1..360
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EXAMPLE
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33 and 99 are terms because 33^2=1089 => 9801=99^2 and 99^2=9801 => 1089=33^2.
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MATHEMATICA
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A128921=Select[Range[0, 100000], IntegerQ[Sqrt[FromDigits[Reverse[IntegerDigits[ #^2 ]]]]]&&FromDigits[Reverse[IntegerDigits[ # ]]]==#&]
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CROSSREFS
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Cf. A002113, A057135, A057136, A133901.
Sequence in context: A049083 A002778 A028816 this_sequence A118595 A057135 A104075
Adjacent sequences: A128918 A128919 A128920 this_sequence A128922 A128923 A128924
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KEYWORD
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easy,nonn,base
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Mar 02 2005, definition corrected Sep 16 2007
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EXTENSIONS
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More terms from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 23 2007
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