HYPERGEOMETRICA. 35 



fbi formatio coefficientium numericorum ex antece- 

 dentibus eft manifefta , eft nempe pro poftrema fex- 

 ta ferie : 



ti:z:6". I-+-I5; 26*6"— 6". 21.4- 140 j *6\6z\6.i.66 



-f- 1050 etc. 



Atque hinc ftatim perfpicitur , fi fuerit n<^m valo- 

 rem ipfius s euaneicere , in poftrema enim ferie fi 

 n<^6 ideoque vel 5 vel 4 vel 3 etc. erit (rj^jzo, 

 F=^) = o etc. 



Tum vero etiam fi fit nzzm, euidens eft fort 

 u a . „ . m - r= 1 , eft enim iu infima ferie : 



t^)=:i, ( 6 -^)=o, ( 6 ^)=o, (^)=oeto 

 Euolutio cafuum »=w+i. 



V. Hinc primo cafus euoluamus , quibu» eft 

 »~w+i, et fbrma poftrema praebet 



fi 

 mzz i,nzz 2 

 mzzn, »rr 3 

 #» — 3, »3:4 

 /«=4,»— 5 



mzz 5, n—6\jrr7.7Ts~ 6x-i$ 



etc 



vbi priores coefficientes ipfius x ipfi 8, numeri ab- 

 foluti autem trigonalibus ipfius n aequentur , liabc- 

 bimus in genere 



E 2 & 



has fummas 



1 ZZ 2X— I 



T% = 3^—3 



TTTTT^ SX-lO 



