Multimagic square 36, 100, ... Value for Trimagic squares 1, 50, 675, 4624, ... Similarly the tetramagic sequence 4-Power 0, 1, 16, 81, 256, 625, 1296, ... Sum of 4-Power 0, 1, 17, 98, 354, 979, 2275, ... Sums for Tetramagic squares 0, 1, 177, ... The first known bimagic square has order 8 and magic constant 260 and a bimagic constant of 11180. It has been conjectured by Bensen and Jacoby that no nontrivial bimagic squares of order less than 8 exist. This was shown for magic squares containing the elements 1 to "n" by Boyer and Trump. However, J. R.
1/2 − 1/4 + 1/8 − 1/16 + ⋯ repeated R: In terms of the Hackenbush game structure, this equation means that the board depicted on the right has a value of 0; whichever player moves second has a winning strategy. 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