A109841 a(n) is the minimal j >= n such that the sum of consecutive integers from n to j is a palindrome.

1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 11, 45, 24, 19, 18, 17, 27, 29, 34, 26, 23, 22, 30, 32, 43, 31, 28, 35, 40, 44, 44, 34, 33, 45, 56, 38, 106, 39, 49, 61, 73, 50, 58, 44, 56, 48, 54, 53, 50, 51, 60, 59, 58, 57, 55, 58, 64, 63, 62, 61, 69, 72, 68, 67, 66, 66, 79, 100, 72, 71, 83, 78