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If, after constructing a Difference Table, no clear pattern emerges, turn the paper through an Angle of
60° and compute a new table. If necessary, repeat the process. Each Rotation reduces
Powers by 1, so the sequence 
multiplied by any Polynomial in 
is reduced to 0s by a
-fold difference fan.
References
Conway, J. H. and Guy, R. K. ``Jackson's Difference Fans.'' In The Book of Numbers. New York:
Springer-Verlag, pp. 84-85, 1996.