A382337 Palindromes in base 10 in which the difference between the sums of the digits in the even and odd positions is zero.

0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 121, 242, 363, 484, 1001, 1111, 1221, 1331, 1441, 1551, 1661, 1771, 1881, 1991, 2002, 2112, 2222, 2332, 2442, 2552, 2662, 2772, 2882, 2992, 3003, 3113, 3223, 3333, 3443, 3553, 3663, 3773, 3883, 3993, 4004, 4114, 4224, 4334, 4444, 4554, 4664, 4774, 4884, 4994

Offset: 1

Author

Alexander Yutkin, Mar 22 2025

Keywords

• nonn
• easy
• base

Links

• Index entries for sequences related to palindromes.

Crossrefs

Intersection of A002113 and A135499.

Programs

Mathematica

Select[11 * Range[0, 500], PalindromeQ[#] && Total[IntegerDigits[#][[1 ;; -1 ;; 2]]] == Total[IntegerDigits[#][[2 ;; -1 ;; 2]]] &] (* Amiram Eldar, Mar 22 2025 *)