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The magic constant or magic sum of a magic square is the sum of numbers in any row, column, or diagonal of the magic square. For example, the magic square shown below has a magic constant of 15. For example, the magic square shown below has a magic constant of 15.
The number for n = 6 had previously been estimated to be (1.7745 ± 0.0016) × 10 19. [65] [66] [63] Magic tori. Cross-referenced to the above sequence, a new classification enumerates the magic tori that display these magic squares. The number of magic tori of order n from 1 to 5, is: 1, 0, 1, 255, 251449712 (sequence A270876 in the OEIS).
However, by increasing n we can forestall the disappearance of the repeating strings as long as we like. The repeating digits are always 1, 5, 6, 2, 4, 9, 6, 3, 9, 2, ... . [1] The sequence of numbers generated by the recurrence relation f (n) = 10 f (n − 1) + n described above is:
A most-perfect magic square of order n is a magic square containing the numbers 1 to n 2 with two additional properties: Each 2 × 2 subsquare sums to 2 s , where s = n 2 + 1. All pairs of integers distant n /2 along a (major) diagonal sum to s .
The magic square with maximum period 18 contains a row-and-column total of 81, that is also obtained by both diagonals. This makes it the first full, non-normal base-10 prime reciprocal magic square whose multiples fit inside respective −th rows: [4] [5]
For this to be an integer, n has to be even. To date, magic T-hexagons of order 2, 4, 6 and 8 have been discovered. The first was a magic T-hexagon of order 2, discovered by John Baker on 13 September 2003. Since that time, John has been collaborating with David King, who discovered that there are 59,674,527 non-congruent magic T-hexagons of ...
A survey cited by the National Association of Realtors (NAR) on Friday found 56% of potential buyers are holding out for rates between 5.5% and 5.75% before making a purchase.
Example of a completed 11,10,5-game. An m,n,k-game is an abstract board game in which two players take turns in placing a stone of their color on an m-by-n board, the winner being the player who first gets k stones of their own color in a row, horizontally, vertically, or diagonally.