WisFaq!

Bolstapeling

Je kunt met tennisballen een driehoekige stapel maken van drie lagen. Wat is hiermee het verband met de driehoek van pascal?

vivienne
20-1-2002

Antwoord

"The tetrahedral numbers are those in column k=3. For n=1,2,...,8 they are 1, 4, 10, 20, 35, 56, 84, 120, 165, 220, with explicit expression C(n+2,3)=n(n+1)(n+2)/6. They are special type of pyramidal number, where the base of the pyramid is triangular."

Zie Information on Combinations of a Set [http://www.theory.csc.uvic.ca/~cos/inf/comb/CombinationsInfo.html]

WvR
20-1-2002