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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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%I #7 Aug 25 2014 11:48:45

%S 1,2,9,11,77,99,101,111,121,202,999,1001,1111,2002,9999,10001,10101,

%T 10201,11011,11111,20002,99999,100001,101101,110011,111111,200002,

%U 999999,1000001,1001001,1002001,1009001,1010101,1011101,1100011,1101011

%N Palindromes n such that the n*m is also a palindrome, where m is the next palindrome after n.

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

%e 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.

%Y Cf. A083160.

%K nonn,base,easy

%O 1,2

%A _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 25 2003

%E Edited by _Patrick De Geest_, Jun 05 2003