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

10,1

Comments

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.

Links

Table of n, a(n) for n=10..29.

Example

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

Crossrefs

Cf. A002113.

Sequence in context: A036231 A055468 A134328 * A134941 A173070 A044867

Adjacent sequences: A113611 A113612 A113613 * A113615 A113616 A113617

Keyword

base,more,nonn,uned

Author

Amarnath Murthy, Nov 09 2005

Status

approved