A086919 Smallest number whose absolute value of the successive digit difference is the n-th palindrome, or -1 if no such number exists.

11, 10, 13, 14, 15, 16, 17, 18, 19, 90, 101, 131, 141, 151, 161, 171, 181, 191, 909, 1001, 1010, 1021, 1032, 1043, 1054, 1065, 1076, 1087, 1098, 1331, 1320, 1313, 1302, 1375, 1386, 1397, 2075, 2086, 2097, 1441, 1430, 1425, 1414, 1403, 1496, 3063, 3074, 3085, 3096, 1551

Offset: 1

Author

Amarnath Murthy, Sep 18 2003

Keywords

• sign
• base

Comments

Palindromes without solutions are the palindromes in A271639. The first is 737 corresponding to a(83) = -1. - Andrew Howroyd, Dec 10 2024

Examples

			The term corresponding to the palindrome 262 is 1397 and the next term (corresponding to 272) is 2075.
		

Links

• Andrew Howroyd, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A002113, A086918, A271639, A327270.

Formula

a(n) = A327270(A002113(n)) for n > 1. - Andrew Howroyd, Dec 10 2024

Extensions

Offset changed and a(37) onwards from Andrew Howroyd, Dec 10 2024