ANALYTICAE. i8p 



valor definiri poteft. At vero ipfa feries ante in- 

 venta per Z maximc ell idonea ad iummam proxi- 

 rrie determinandam. 



2 2. Hinc anfam arripio accuratius iftam feriem 

 perpendendi : 



, (n-f-5)(>i-f-5)(ff-^6) _yn-4-4 i_ etc 



2. 3. 4- 



cuius valores pro cafibus , quibus n efi: numerus in- 

 teger impar , methodo fingulari determinauimus , 

 qui ita fe liabent : 



fi n — i\ Pz=:i(i-f2jv— 1/(1—4;*:') 



«—5; P=5o(i— 15-^-^+ioa:'— (i+2a;— pj;r)y(i-4jf)) 



nzz 7,- P=:ns(i-2 8^j?-|-55/-i4X*-(i4-2A;-22 jA:+ao;f'j/(i-4;t))« 



Qiiare cum fummatio in genere ad aequationem dif- 



ferentialem reduci queat , operae pretium videtur 



examinare, quomodo his cafibus ifti valores fatisfa- 



ciant. Conueniet autem potius difFerentialia confide- 



rari , quae funt 



fi«=i;f-^=ri(i + ^_) 



n = ii^/^-i{-x + zxx-x' + i=^±^. 

 23. In genere autem eft differentiando : 



|_r— A;'*^'^- «A;"4- t^+OCn-t -O^n.^-i _^ (n-«-2](n-H8)(n + i )^^n^» 1 g^^_ 



A a 3 Poiu- 



