Some expanded formulas for the final number of terms:
Binomial: (e+1)/1
Trinomial: (e2+3e+2)/2
Tetranomial: (e3+6e2+11e+6)/6
Pentanomial: (e4+10e3+35e2+50e+24)/24 and so on.
Notice that the constant term and the denominator are the factorials of, 1,2,3 and 4.
Binomial: (e+1)/1
Trinomial: (e2+3e+2)/2
Tetranomial: (e3+6e2+11e+6)/6
Pentanomial: (e4+10e3+35e2+50e+24)/24 and so on.
Notice that the constant term and the denominator are the factorials of, 1,2,3 and 4.
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