■ 20p ! ; 



tes poteftatis n'^"^ binomii charaQeiibus 



r^-], [?]. [3-]. [4-]^ etc. 



defiguemus , faQa euolutione erit 



et fi poteftates inipares ipfius v pariter euoluantur, habq-? 

 "bimus 



^ 27 2. 4*j3 2. 4- 6* 3-5 2. 4.6. 8* jy7 ^*-^* 



2;^ - y? _ f y3 _^ 5^ ^ _ 5^1 I _ 5.3.I.I I _ ^ 



/ 2y 2.4'-^ 2.4.6 ' :> 2.4.6.8*373 ^^^' 

 2;"? - r "^ — 1 r^ -f- ^' ^ ^3 __ 7- 5. 3 y, . 7. ?. 3. 1 I . ^^^ 



etc. etc. 



quibus fubftitutis poteftas quaefita p"" fequenti ferie expri^ 

 metur : 



p" = A J" — B J^-2 _^ C^n-4 _ ]3^n-6 ^ et^^ 



cuius coefficientes A, B. C, D, etc. erunt 



A = I -^ [J] -f- [",] -4- [^] -4- [J] -f- [|] -^ etc. 

 ^= itf] -^-i[l] + i[l]H-|[5]-4-|[|]-f-etc, 

 C= li[f]^^[|]^^[!J^Hm-^etc. 



^= ^^iJ-mtu-^mm^lf^m-^etc: 



2.4.6.8 '-I-J 2.4 6.8 '-3J 2.4.6.8 '-5^^^:57678 '-7]'^ eiC, 



etc. etc. 



vbi igitur totum negotium eo redit, vt harum ferierum 

 fummae inueftigentur et coefficientium A, B, C> D^, etc. 

 valores finite exprimantur. Hunc in fmem pono 



Noua AUa Acad. Imp. Scient. Tom. IX, D d X 



