Article contents
Interleaving integer sequences
Published online by Cambridge University Press: 01 August 2016
Extract
Interesting algebraic and geometric results can be obtained by interleaving integer sequences term by term. To introduce this we consider how a well-known sequence can be considered as being composed of subsequences.
The standard Fibonacci sequence (Fk):
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ... (1)
is defined by the recurrence relation Fk = Fk - 1 + Fk - 2 for k ≥ 3 and F1 = F2 = 1.
- Type
- Articles
- Information
- Copyright
- Copyright © The Mathematical Association 2007
References
- 1
- Cited by