306 CARL W. BOCK 



124 = 248/2 



= 58 + 22 + 22 + 22 



= 15 + 15+15+15+15 + 20 + 20 + 22 



= 39 + 39 + 23 + 23 



= 45+ 57 + 22 



= 20 + 20 + 20 + 20 + 22 + 22 



= 33 + 33 + 58 



, = 27+ 27 + 27 + 20 + 23 



= 74+ 27 + 23 



= 58+ 33 + 33 



154 = 22 + 22 + 22 + 22 + 22 + 22 + 22 



= 57+ 20 + 57 + 20 



= 33 + 33 + 33 + 33 + 22 



= 27+ 27 + 27 + 27 + 23 + 23 



= 58 + 58+15 + 23 



= 45 + 45 + 22 + 22 + 20 



= 74+ 33 + 27 + 20 



= 74 + 27 + 23+15+15 



= 124 + 15+15 



= 87 + 45 + 22 



= 39+ 27 + 39 + 27 + 22 



= 58 + 22 + 74 



= 58 + 57 + 39 



248 = 124 + 124 



= 154 + 54 + 20 + 20 



= 154 + 74 + 20 



= 124 + 74 + 20+15+15 



= 176 + 20 + 20 + 22 



= 128 + 45 + 45+15+15 



= 128 + 33 + 33 



= 87+ 87 + 74 



= 57 + 57 + 57 + 57 + 20 



= 57 + 57 + 57 + 22 + 20+15 

 and all substitution products. 



Close scrutiny of the above tables will lead to the conclusion 

 that it is generally possible to express any of the coefficients of 

 the larger groups in terms of combinations of the coefficients of 



