Multimagic square 16, 25, 36, 49, ... Sum of Squares 0, 1, 5, 14, 30, 55, 91, 140, 204, 285, ... )number of units in a square-based pyramid) The bimagic series is the 1st, 4th, 9th in this series (divided by 1, 2, 3, n) etc. so values for the rows and columns in order-1, order-2, order-3 Bimagic squares would be 1, 15, 95, 374, 1105, 2701, 5775, 11180, ... The trimagic series would be related in the same way to the hyper-pyramidal sequence of nested cubes. Cubes 0, 1, 8, 27, 64, 125, 216, ... Sum of Cubes 0, 1, 9,
1/2 − 1/4 + 1/8 − 1/16 + ⋯ 1/2 − 1/4 + 1/8 − 1/16 + ⋯ In mathematics, the infinite series is a simple example of an alternating series that converges absolutely. It is a geometric series whose first term is and whose common ratio is −, so its sum is A slight rearrangement of the series reads The series has the form of a positive integer plus a series containing every negative power of two with either a positive or negative sign, so it can be translated into the infinite blue-red Hackenbush string that represents the surreal number : A slightly simpler Hackenbush string eliminates the