id: 06269361
dt: j
an: 2014b.00694
au: Schiffman, Jay L.
ti: Exploring the Fibonacci sequence of order three.
so: Math. Spectr. 46, No. 2, 66-71 (2014).
py: 2014
pu: Applied Probability Trust (APT) c/o University of Sheffield, School of
Mathematics and Statistics (SoMaS), Sheffield
la: EN
cc: I30 F60
ut: Fibonacci sequence; Fibonacci sequence of order three
ci:
li:
ab: Summary: The Fibonacci sequence of order three is the sequence of numbers
$1,3,10,33,109,\dots$ Each term in this sequence from the third term on
is equal to three times the previous term plus the term two places
before it. This article will explore ideas such as divisibility and
periodicity as well as prime elements in this sequence. We conclude by
furnishing a closed formula similar to the Binet formula for the
Fibonacci sequence in addition to some palatable number tricks.
rv: