length sequence
Sequences Extrapolation and the Moser Problem
Polynomial extrapolation of a length sequence
Exemple : polynomial extrapolation of the sequence 1, 2, 4, 8, 16
Mathematica is able to generalize the polynomial extrapolation to all degrees :
| m |
 |
 |
 |
 |
 |
| {1,2,3,4,5,6,7,8} |
| {1,2,4,7,11,16,22,29} |
| {1,2,4,8,15,26,42,64} |
| {1,2,4,8,16,31,57,99} |
| {1,2,4,8,16,32,63,120} |
| {1,2,4,8,16,32,64,127} |
The Moser problem
One point is marked at the top of a circle. Six other points are marked at random. Chords are drawed. Points are successively removed one at a time : the figures are modified appropriately.
In[1]:=
Out[1]=
Out[2]=
The Pascal triangle
