A novel fibonacci pattern in pascal's triangle

Autoren Bernhard A. Moser
Editoren
Titel A novel fibonacci pattern in pascal's triangle
Typ sonst
Serie arXiv:1811.02085v1 [math.HO]
Monat November
Jahr 2018
SCCH ID# 18086
Abstract

The Fibonacci sequence is obtained as weighted sum along the rows in the Pascal triangle by choosing a periodic up-and-down pattern of weights from the set {-1,-1/2,0,1/2,1}. A graphical illustration of this identity shows a novel "`beautiful"' Fibonacci pattern.