16 



PROCEEDINGS OP THE AMERICAN ACADEMY. 



to notice the seemingly anomalous sequence of values in the terms of 

 the series for T. In fact, the relations between the successive terms 

 is, for some cases that we have studied, so complicated that the detec- 

 tion of accidental errors of computation becomes extremely difficult, 

 y — when r ^= a^ whatever s is, and equation (24) can be written in 

 the form 



V= F(l - 2 n - 2 r,_,) + 2 F, n + 2 To r,_,. 

 TABLE IV. 



