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A083159
Palindromes n such that the n*m is also a palindrome, where m is the next palindrome after n.
1
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
OFFSET
1,2
COMMENTS
Sequence is infinite as 10^k - 1 and 10^k + 1 are always successive members.
EXAMPLE
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.
CROSSREFS
Cf. A083160.
Sequence in context: A042573 A041651 A042687 * A041335 A042147 A090517
KEYWORD
nonn,base,easy
AUTHOR
Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 25 2003
EXTENSIONS
Edited by Patrick De Geest, Jun 05 2003
STATUS
approved