50 



Trans. Acad. Sci. of St. Louis. 



For d=l, 



For d-2, 



For ^=3, 



Table 18. 



Table 19. 



Table 20. 



B. Or again, instead of Table 6 we may write 



(e) 1 1 + d l + 2d l+3rf 



(f) 1 2 + rf 3 + 3d 4 + 6rf 



(g) 1 3 + d 6 + 4(i 10+lOrf 

 (h) 1 4 + d 10 + 5d 20 + 15d 



• • • 



Trt&^e 21. 



where d is any integer. It will be seen that in this set 

 of series, also, the w'^ term of any series is equal to the 



