It is ok to post!
# Name:Treasa Bency Biju Jose
# Date: 11/13/2020
# Assignment #19
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1.

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2. 
with(gfun);
guessgf([0, 0, 6, 24, 60, 120, 210, 336, 504], x);
              [                2                 ]
              [             6 x                  ]
              [- ---------------------------, ogf]
              [    4      3      2               ]
              [  -x  + 4 x  - 6 x  + 4 x - 1     ]

t := [seq(n*(n - 1)*(n - 2), n = 0 .. 10)];
       t := [0, 0, 0, 6, 24, 60, 120, 210, 336, 504, 720]


[0, 0, 0, 6*x^3/3!, 24*x^4/4!, 60*x^5/5!, 120*x^6/6!, 210*x^7/7!, 336*x^8/8!, 504*x^9/9!, 720*x^10/10!];
 [          3   4  1  5  1  6  1   7   1   8   1   9   1    10]
 [0, 0, 0, x , x , - x , - x , -- x , --- x , --- x , ---- x  ]
 [                 2     6     24     120     720     5040    ]

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