A novel fibonacci pattern in pascal's triangle

B. Moser. A novel fibonacci pattern in pascal's triangle. 11, 2018.

Autoren
  • Bernhard A. Moser
TypSonstiges
SeriearXiv:1811.02085v1 [math.HO]
Monat11
Jahr2018
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.