194 Transactions of the South African Philosophical Society. 

 and we are thus able to simplify the original identity into 



A 



1.2w 



2n-l 



A 2(2^-1) 



(2?i.-l).2 

 -3-2;/ 2»~3 



(2/t-2).3 a 



5-2/t 



A (n-l)(n + 2) 



A — 3" 



(W + 1)W A 7^(^+1) 



= (A + 2) (A+4) (A + 6) (A + 2/i). 



(XII.) 



Unfortunately the set of column-multipliers necessary for effecting 

 this resolution is not simple, the first line of it being 



1, 2-1, 3- 3 , 4- C , 



n n n 



n( ii-l) 

 2n 



August 21, 1904. 



