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

121, 131, 141, 151, 161, 171, 181, 191, 0, 1001, 1012, 1021, 1032, 1043, 1054, 1065, 1076, 1087, 1098, 0

Offset: 10

Author

Amarnath Murthy, Nov 09 2005

Keywords

• base
• more
• nonn
• uned

Comments

a(n) = 0 if n begins with 9 and contains odd number of digit. E.g., 919, 92129, etc. Are there other values of n for which a(n) = 0?

If n begins with 9 as a digit and contains even number of digits then a(n) is a palindrome.

Examples

			a(99) = 909.
a(191) = 1098. 1 - 0 = 1, abs(0 - 9) = 9, 9 - 8 = 1.
a(9119) = 90109.
		

Crossrefs

Cf. A002113.