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Search: id:A083159
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| A083159 |
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Palindromes n such that the n*m is also a palindrome, where m is the next palindrome after n. |
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+0
2
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| 1, 2, 9, 11, 77, 99, 101, 111, 121, 202, 999, 1001, 1111, 2002, 9999, 10001, 10101, 10201, 11011, 11111, 20002, 99999, 100001, 101101, 110011, 111111, 200002, 999999, 1000001, 1001001, 1002001, 1009001, 1010101, 1011101, 1100011, 1101011
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Sequence is infinite as 10^k - 1 and 10^k + 1 are always successive members.
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EXAMPLE
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77 belongs to this sequence as 77*88 = 6776 is also a palindrome while 88 is not a member as 88*99 = 8712 is not a palindrome.
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CROSSREFS
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Cf. A083160.
Sequence in context: A042573 A041651 A042687 this_sequence A041335 A042147 A090517
Adjacent sequences: A083156 A083157 A083158 this_sequence A083160 A083161 A083162
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KEYWORD
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nonn,base,easy
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Apr 25 2003
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EXTENSIONS
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Edited by Patrick De Geest (pdg(AT)worldofnumbers.com), Jun 05 2003
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