Nova methodus etc, ^55 



r^.-u(„.— ^^.> I (^"-^)(^-2) ^„ ^(m -1)(m-2)(m-3) ,„ 



'-2 • ^- '1 2. 3.4 k ■ 



Sint nunc series coefficlentium potenliarum variabilis x \n e- 



voluijone cnjuscumriucpotentiae m esiiuaelrinomii ri-t-:r_^^.V 

 ent. ^ ^^-i-u. ^, 



^"'" ■"•* 1,2,3,4.5,6,7,8,9,10 



Differ. 1 .«con«tantes 1,1,1,1,1 1111 



Series 2.. .... 1,3,G,10,15,21,36,45,55 etc. 



^'"■"- ■"•" 2,3,1,5,6,7,8,9,10 etc. 



Differ. 2.aeconstantes. . . 1,1,1,1,1,1,1,1 etc. 



Series 3.a . . . 0,2,7,16,30,50,77,112,156,210 etc. 

 Differ. I.ae. . . . 2,5,9,14,20,27,35,44,54 etc. 



J^'"^"- 2.ae 3,4,5,6,7,8,9,10 eti;. 



Differ. 3.aeconstanies . . 1,1,1,1,1,1,1 etc. 



Series 4.. . . . 0,1,6,19,45,90,161,266,414,615 etc. 

 Differ. I.ae. . . 1,5,13,26,45,71,105,148,201 etc. 



^'^'='-- 2.«e 4,8,13,19,26,34,43,53 etc. 



D'"""- 3.»e 4,5,6,7,8,9,10 etc. 



Differ. 4.aeconstantes. . . 1,1,1,1,1,1 etc. 



Scries 5.> . . . 0,0,3,16,51,126,266,504,882,1452 etc. 

 Differ. I.ae. . . 0,3,13,35,75,140,238,378,570 etc. 

 Differ. 2.ac. . . . 3,10,22,40,65,98,140,192 etc. 



Differ. 3.ae 7,12,18,25,33,42,52 etc. 



DifTer. 4.ae 5,6,7,8,9,10 etc. 



Differ 5.«consianies . . . 1,1,1,1,1 etc. 



