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Interleaving integer sequences

Published online by Cambridge University Press:  01 August 2016

Tony Crilly
Tony Crilly*
Affiliation:
Middlesex Business School, The Burroughs, Hendon, London NW4 4BTe-mail: t.crilly@mdx.ac.uk
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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
The Mathematical Gazette , Volume 91 , Issue 520 , March 2007 , pp. 27 - 33
Copyright
Copyright © The Mathematical Association 2007

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References

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