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

1,1

Comments

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

Links

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

Formula

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

Example

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

Crossrefs

Cf. A002113, A086918, A271639, A327270.

Sequence in context: A344367 A106421 A019329 * A060982 A324296 A323294

Adjacent sequences: A086916 A086917 A086918 * A086920 A086921 A086922

Keyword

sign,base

Author

Amarnath Murthy, Sep 18 2003

Extensions

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

Status

approved