Magic Series
Number N(n, m) of magic series for hypercubes of dimension n and order m
  Complete formulae and special form of the first coefficients for the orders 2 to 12
Formulae

 For the orders 7, 8 and 11 we need two formulae, one for odd n and one for even n.
 Note that the first coefficients of both formulae are equal.

 Order 2       


 Order 3       


 Order 4       


 Order 5       


 Order 6       


 Order 7       



 Order 8       



 Order 9       


 Order 10       


 Order 11       



 Order 12              (Added 2007-01-03)


     

First coefficients for orders m=2 to m=12




















Added 2007-01-03



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Walter Trump, Nürnberg, Germany, (c) 2006-12-27 (last modified: 2007-01-04)