numbers form a -multimagic series if the sum of their th powers is the Magic Constant of degree for every , ..., . The following table gives the number of -multimagic series of given orders (Kraitchik 1942).
2
2
3
8
4
86
2
2
5
1,394
8
2
6
0
98
0
7
0
1,844
0
8
0
38,039
115
9
0
0
41
10
0
0
0
11
0
0
961
References
Kraitchik, M. ``Multimagic Squares.'' §7.10 in Mathematical Recreations. New York: W. W. Norton, pp. 176-178, 1942.