Script started on Fri Apr 28 14:48:06 2000
#
# Usage of program "rsq":
#    rsq number-of-squares number-to-represent
#
# Example 1.
# There is one representation of zero as a vacuous sum.
#
csh [1] rsq 0 0
[]
#
# Example 2.
# There is one representation of zero as a sum of ten squares.
#
csh [2] rsq 10 0
[0,0,0,0,0,0,0,0,0,0]
#
# Example 3.
# There are no representations of ten as a vacuous sum.
#
csh [3] rsq 0 10
#
# Example 4.
# There are no representations of six as a sum of fewer than 3 squares.
# There are 24 representations of six as three squares.  The number of
# representations goes up rapidly as we increase the number of squares.
csh [4] rsq 0 6
csh [5] rsq 1 6
csh [6] rsq 2 6
#
# [-2,-1,-1] means (-2)^2 + (-1)^2 + (-1)^2 = 6
csh [7] rsq 3 6
[-2,-1,-1]
[-2,-1,1]
[-2,1,-1]
[-2,1,1]
[-1,-2,-1]
[-1,-2,1]
[-1,-1,-2]
[-1,-1,2]
[-1,1,-2]
[-1,1,2]
[-1,2,-1]
[-1,2,1]
[1,-2,-1]
[1,-2,1]
[1,-1,-2]
[1,-1,2]
[1,1,-2]
[1,1,2]
[1,2,-1]
[1,2,1]
[2,-1,-1]
[2,-1,1]
[2,1,-1]
[2,1,1]
csh [8] rsq 3 6 | lines
     24
csh [9] rsq 4 6 | lines
     96
csh [10] rsq 5 6 | lines
    240
csh [11] rsq 6 6 | lines
    544
csh [12] rsq 7 6 | lines
   1288
csh [13] rsq 8 6 | lines
   3136
csh [14] rsq 9 6 | lines
   7392
csh [15] rsq 10 6 | lines
  16320
csh [16] rsq 11 6 | lines
  33528
csh [17] ^D
exit

script done on Fri Apr 28 14:51:07 2000