MEMOIRS OF THE NATIONAL ACADEMY OF SCIENCES. 73 



N, = - = + 0. 004943 



4 



N = - — = - 0. 105462 

 4 



N, = 2 + e ' = + 0.504943 

 4 



iV 2 = -| =-0.035154 

 4 



From these were then computed for «'>0 



p a v c, _ -F(M',a . g (« + M',:) , g(» -i,* ',i) 



-t IN* i .; — i _ j-^ -i- ;• + i _ j' /t "i~ » - i _ i> 



n Uif „_ G(i + l,i',l) H(i-l,i',l) 



V l*>' >•>— i + 1 - i'fx ~ i - 1 - i'fi 



p (i,i>, a - |p (* + V, :) - I-p (<- M'i :) 



28 (^', a = , .,, 



and for t' = 



s (v', a = 



9 (MS ;) 



i — i'/< 



v # • ■/ «* _ T (m ', a _,_ r ( i + i,»',;) F(i-y,:) 

 ■* i*>* > .; — { _ f/^ -i- .{ + 1 _ i'n -i- ^ _ i _ i'ft 



w (V » ») — - j + i _ {'^ + i _ i _ i'^u 



P (0,0,0) = (l,0,c) 



P (1,0,1)= F (1,0, f)+ J 6? (2,0,0 

 P (2,0, = J P (2,0, I)+J6 (3,0, I) + 27 (1,0, a 

 P (3,0, <)'= 4 F (3,0, ;) + i 6 (4,0, ;) + J 22 (2,0, ;) 

 etc. 



Q (i,o, a = i o (2,o, a 



q (2,0, a = *G (3,0, a - 5" (1,0, a 



q (3,0, a = i# (4,0,:) - j ir (1,0, a 



etc. 

 P (0,0,c)= P(0,0,c)-^P(l,0,c) 



P (l,0,c) = P (1,0,0) -| P (0,0,c) _| P (0,0,0)-^ P < 2 '°' c) 

 P(l,0,s)=P(l,0,8) -|P (2,0,s) 



P(2,0,a=i[P(2,0,a-3P(l,0,0-^P(3,0,o] 



p(3,o,a=j[p(3,o,a-|p(2,o,a-|p(4,o,a] 



etc. 

 F(l,0,a= T (1,0, 0+4 C(2,0, a 

 r ( 2,0,a = *T(2,0,a+i CT(3,0,:)+ F(1,0,:) 

 F(3,0,a=J T(3,0,a+i U(i,0,i)+ i V (2,0, a 



