78 OBSERVATIONES ANALTTlCAE JARIAE 



irm n" 5 coefTicientem rubet 9 , quia 16 nouem modis in 

 qi.ur.10r p.irtes .inter fe inaequaies difpertiri poccil , quac 

 nouem partitiones (iint : 



16-1 +2 + 3-H10; 16 = 1 + 3 + 4 + 8 

 16=1+2 + 4+ 9\ 161=1+3 + 5+7 

 16=1+2 + 5+ 8; 16=1+4+5 + 6 

 16=1 + 2+6+ 7; 16=2 + 3+4+7 



16 =2 + 3 + 5+6 

 Simili modo res fe habet in fequentium litterarum e, ^, y^ 

 etc. valoribus qui enint 



c=7;' 5 +/;"+2tt' 7 +3/j"+5«"+7/z"'+io/z ? + etc. 

 ^— H , +M'*+2H i: +3/z-*+5« I; +7/i 2 *+i i/z-"+etc. 

 >j=/z- !, +« 25 +2/z IO +3/z : + 5/z :, +7/z :: +i i/z :t +etc. 



etc. 

 in quibus feriebus omnibus cuiusuis ipfius n potcftatis 

 coerncicns indicat , quot variis modis cxponcns ipfius n 

 pollit refoliii in tot partes inaequales , quota ferics elta 

 principio numerata. Seu coerncicns cuiusque termini de- 

 clarat , quoties exponens ipfius n oriri queat cx additio- 

 ne tot numerorum intcgrorum inter fe inaequalium quota 

 ipfi ieries , ex qua terminus defumitur, eft , numerandoa 

 prima a. Sic in ferie feptima coefficiens poteftatis n * 

 e(t 11 , quia numerus 34 vndecim modis diftribui po- 

 teft in feptem partes inaeqnales, quae diftributiones funt: 

 34 — 1-+-2 + 3+4+5+6+13 



3+ — 1+2 + 3+4 + 5 + S + n 

 34 = 1 + 2 + 3 -h 4- -+- 5 -I- 9 -t- 10 

 34 = i -+- 2 + 3 -h*4 -4- 6 -+- 7 -i- 1 1 

 34 = 1 + 2 + 3 + 4 + 6 + 8 + 10 



3+ = 



