A110233 a(n) is the minimal b >= n such that the sum of consecutive integers from n to b is a perfect power.

8, 4, 7, 4, 13, 16, 19, 8, 9, 28, 13, 13, 14, 40, 43, 16, 49, 22, 55, 28, 28, 64, 27, 25, 25, 28, 27, 52, 85, 88, 91, 32, 97, 100, 40, 36, 44, 43, 49, 41, 121, 124, 47, 130, 53, 52, 49, 142, 49, 71, 77, 69, 67, 160, 70, 136, 64, 67, 175, 61, 181, 63, 187, 64, 193, 196, 85, 94