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I came up with this sequence in math class a couple of months ago when we were asked to make up a rule, write down a sequence using that rule, and pass them around the room. When you figured out the rule you were supposed to trade with someone else and try to figure out that one. Afterwards the professor put the sequences that stumped people on the board and we figured them out together. However the following sequence which I made wasn't solved and stumped the whole class, professor included. So here it is: 0,0,3,16,45,120,280,624,1323,2720... Try to figure the rule for this sequence.