

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
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OFFSET

1,2


COMMENTS

Sequence is infinite as 10^k  1 and 10^k + 1 are always successive members.


LINKS



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



KEYWORD

nonn,base,easy


AUTHOR

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 25 2003


EXTENSIONS



STATUS

approved



