Jackson's Difference Fan

If, after constructing a Difference Table, no clear pattern emerges, turn the paper through an Angle of60° and compute a new table. If necessary, repeat the process. Each Rotation reducesPowers 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.

• Pie Cutting
• Pigeonhole Principle
• Pi Heptomino
• Pillai's Conjecture
• Pilot Vector
• Pinching Theorem
• Pinch Point
• Pine Cone Number
• Piriform
• Pisot-Vijayaraghavan Constants
• Pistol
• Pitchfork Bifurcation
• Pivoting
• Pivot Theorem
• Pizza Theorem
• Place (Digit)
• Place (Field)
• Place (Game)
• Planar Bubble Problem
• Planar Distance
• Planar Graph
• Planar Point
• Planar Space
• Planar Straight Line Graph
• Plancherel's Theorem