A082275 Palindromes k such that k + 11 is also a palindrome.

11, 22, 33, 44, 55, 66, 77, 88, 191, 292, 393, 494, 595, 696, 797, 898, 1991, 2992, 3993, 4994, 5995, 6996, 7997, 8998, 19991, 29992, 39993, 49994, 59995, 69996, 79997, 89998

Offset

1,1

Comments

A pattern is visible.

This conjectured Mathematica program builds on the perceived pattern:

Flatten[Table[FromDigits[Join[{n},PadRight[{},k,9],{n}]],{n,8},{k,0,4}]]//Sort

It will generate an additional 8 terms for each increase in the number of digits of added terms.(* Harvey P. Dale, Jan 29 2023 *)

Links

Table of n, a(n) for n=1..32.

Example

595 + 11= 606 is also a palindrome.

Mathematica

Select[Range[100000], AllTrue[#+{0, 11}, PalindromeQ]&] (* Harvey P. Dale, Jan 29 2023 *)

Crossrefs

Sequence in context: A044836 A338754 A033008 * A059544 A070022 A004940

Adjacent sequences: A082272 A082273 A082274 * A082276 A082277 A082278

Keyword

base,easy,nonn

Author

Amarnath Murthy, Apr 13 2003

Status

approved