What is the next number in the following series : 0 4 18 48 100 180 294 -----

To find the pattern, look at the differences between consecutive terms: 4, 14, 30, 52, 80, 114. The second differences are: 10, 16, 22, 28, 34 (increasing by 6 each time). The next second difference is 40, so the next first difference is 154, making the next term 294 + 154 = 448. Alternatively, this follows the formula n³ - n² for n = 1, 2, 3, ...: 0, 4, 18, 48, 100, 180, 294, 448.