A085930 Triangle read by rows in which row n contains n smallest (> 0) numbers which when incremented by n yield a triangular number.

2, 1, 4, 3, 7, 12, 2, 6, 11, 17, 1, 5, 10, 16, 23, 4, 9, 15, 22, 30, 39, 3, 8, 14, 21, 29, 38, 48, 2, 7, 13, 20, 28, 37, 47, 58, 1, 6, 12, 19, 27, 36, 46, 57, 69, 5, 11, 18, 26, 35, 45, 56, 68, 81, 95, 4, 10, 17, 25, 34, 44, 55, 67, 80, 94, 109, 3, 9, 16, 24, 33, 43, 54, 66, 79, 93, 108