The density of ones in Pascal's rhombus

Pascal's rhombus is a variation of Pascal's triangle in which values are computed as the sum of four terms, rather than two. It is shown that the limiting ratio of the number of ones to the number of zeros in Pascal's rhombus, taken modulo 2, approaches zero. An asymptotic formula for the number of ones in the rhombus is also shown. c 1999 Elsevier Science B.V. All rights reserved

• Type: Journal
• Year: 1999
• Where: DM
• Authors: John L. Goldwasser, William Klostermeyer, Michael Mays, George Trapp
• Keywords: Asymptotic Formula, DM 1999, Rhombus, Triangle