What is the next number in the following series?
1, 2, 4, 13, 31, 112, ?
I believe the next number in the sequence would be 274. When I looked at the problem the only definate pattern i realized was... 1+1squared+2(1squared)+3squared+2(3squared)+9squared+2(9squared). When you follow this formula you can derive that the number after 112 will be 274.