A generalization of the Fibonacci numbers defined by the four constants 
and the definitions 
and 
together with the linear recurrence equation
 |
for 
.
With 
,
, 
, and 
, the Horadam sequence reduces to the Fibonacci
numbers.
Horadam Sequence
See also
Fibonacci NumberExplore with Wolfram|Alpha
References
Horadam, A. F. "Basic Properties of a Certain Generalised Sequence of Numbers." Fib. Quart. 3, 161-176, 1965.Horadam, A. F. "Special Properties of the Sequence
." Fib. Quart. 3, 161-176, 1965.Horadam,
A. F. "Jacobsthal Representations Numbers." Fib. Quart. 34,
40-54, 1996.Reiter, C. A. "Exact Horadam Numbers with a Chebyshevish
Accent." Vector 16, 122-131, 1999.Referenced on Wolfram|Alpha
Horadam SequenceCite this as:
Weisstein, Eric W. "Horadam Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HoradamSequence.html