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 A113614 Least number whose absolute difference of successive digits gives the n-th palindrome (A002113), or 0 if no such number exists. 0

%I #2 Dec 05 2013 19:57:07

%S 121,131,141,151,161,171,181,191,0,1001,1012,1021,1032,1043,1054,1065,

%T 1076,1087,1098,0

%N Least number whose absolute difference of successive digits gives the n-th palindrome (A002113), or 0 if no such number exists.

%C 1. a(n) =0 if n begins with 9 and contains odd number of digit. e.g. 919,92129, etc. Are there other valus of n for which a(n) = 0? 2. If n contains begins with 9 as a digit and contains even number of digits then a(n) is a palindrome.

%e a(99) = 909

%e a(191) = 1098. 1 - 0 = 1, 0 ~ 9 = 9, 9 - 8 = 1.

%e a(9119)= 90109.

%Y Cf. A002113.

%K base,more,nonn,uned

%O 10,1

%A _Amarnath Murthy_, Nov 09 2005

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Last modified March 2 21:08 EST 2024. Contains 370498 sequences. (Running on oeis4.)