Horadam Sequence
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.
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.
