272 
T. Formula Polynoniioruni. 
///. Oiaav f<5f t>ctt mtc ^Jotciif^, faa gidttcc fam^ 
me o.i]faa fer Den i]cc\\ Iv/icvc , beu (m'^pi)tc» 
O Ouiar ni.u! muftiplici'rcr Socfficientcruc ubi tic« mfe^PofcntiJ 
1Vd4"^[ii-2])'", T(b^rHh[n-~3])''\..T(b4^c)'^ T(b^b)'" (= b'") 
iiu-D b, c . . . . [n-a], [n-2], 
cn^UKr ovcnjlaacnt'e mci) ben netten unDcc fatte, faa faacø $)i:oC?uctci:, fom 
famle ^e ubv]icr 
bT(b-I-HhLn~2])^ HF^ cT(bHhHh Hh>** [n-3]lXb*c)"' 4- [n-2jb"' 
— T(b'^-4-[n-'2])'""^^ (§* 4.); t^i te oi>cnpaa fatte ctc Secfficictuerne 
uDi (b>-r cx4- 4- [11— 2]x'^""^)'" I en cmwcntti Dl•^c^, 03 De unO^r Dem fatte 
b, c, [11—2] erc De af bH^cxHh^J- [n— 2]x'^""% 
2) O'iaar p-na en Hqc SKanDe Eoffficlcutcrne 
T(bHh4^[n-i])"\ T(b4^Hh [n«-2]r • • . T(bHhb)"^ 
uiuliipliccrfé mcD b . . . [n — 2], 
faa blmx ^^fotiictcrncé (guninte 
aT(b4-^^-[n--I]V" + T(b 4^ [n~2]^+^ 
Eocf?icicnferite6 ?(nta( ubi (b4^4^ [n— i])'" cc n— •2» 9?aac De Derfor i 
cn omwenDt OrDen fammenfceftes nuD Socfficietncrue a 4^ b [n— 2] uDt 
Der opriuDvIif]« ^^olnnomium , faa fomma- D^n jlDj^c af Diffe^ nemdg [n--2], 
unbcr De føifte af tyinc T(b4^b)'". 
3) UDi Dcit af inDedge gorniel 6[iyec T(a4^>f[n])'^ affib nz a"^, naac 
n falder fnrnmeu meD a (§♦ 6. gølge u); men Da gitjc'd Deriffc j!ére S^ele* . 
4) Sen førfie X^ai uf Soefficienteu IXa-I^^^in])"', nemU,q ma"-^'{ii], 
ilmt for Dc foregaaen^e Soefficientei: ma"'~^[n~i], ma^^^Cn— 2], o* f* 
m^at tur ma^^^-' [n] , jma"^-' [n i] . . . ma"^-' b , a"^-^ a 
mufi^Dficercs meb b [n — i], [n], 
~ (m^i)a^^^"^a[n] 4^ma"^-"'(rn--r]b4^[n--2]cjt4-b[n--i]) 
= ^m^jya^^'in] 4^ ma^^""^ l^b 
5) 0?aatr 
