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Narayana’s integer sequence revisited

Published online by Cambridge University Press:  23 August 2024

Tony Crilly
Tony Crilly*
Affiliation:
10 Lemsford Road, St Albans. AL1 3PB e-mail: tonycrilly42@gmail.com
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Extract

An essential feature of the Fibonacci sequence (Fn): 1, 1, 2, 3, 5, 8, … is an explicit expression for its nth term Fn (Binet’s formula) and the corollary that is the golden ratio and {x} is the nearest integer to x.

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Articles
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The Mathematical Gazette , Volume 108 , Issue 572 , July 2024 , pp. 262 - 269
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© The Authors, 2024 Published by Cambridge University Press on behalf of The Mathematical Association

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References

Sequence A000930. On-line Encyclopedia of Integer Sequences (OEIS).Google Scholar
Crilly, T.. A supergolden rectangle. Math. Gaz., 78 (November 1994) pp. 320–325.CrossRefGoogle Scholar
Sivaraman, R.. Knowing Narayana cows sequence. Advances in Mathematics: Scientific Journal 9 (12) (2020) pp. 10219–10224.Google Scholar
https://wikipedia.org/wiki/supergolden_ratio, accessed November 2023.Google Scholar