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Fibonacci Numbers

  ( 24 )
Fibonacci numbers, named after Italian mathematician Leonardo Fibonacci, are the numbers in the Fibonacci sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, . . . , each of which, after the second is the sum of the two previous ones.

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1. Extensions of the golden section and Fibonacci series - Describes an extended Fibonacci series in which each number is the sum of the preceding three or more numbers. A corresponding extended golden section is also described.
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2. Fibonacci Numbers Formulae - Presented by Rajesh Ram.
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3. The Fibonacci Association - Focuses on Fibonacci numbers and related mathematics, emphasizing new results, research proposals, challenging problems, and new proofs of old ideas.
4. 10th International Conference on Fibonacci Numbers and their Applications - Northern Arizona University, Flagstaff, Arizona, USA; 24--28 June 2002.
5. Amof:Info on Fibonacci Sequences - Information on Fibonacci Sequences.
6. Animation of Binet's formula for Reals - Interesting Applets showing Binet's formula for Fibonacci numbers extended for Reals.
7. Fibonacci and Lucas Factorizations - Tables of known factorizations of the first 10,000 Fibonacci and Lucas numbers.
8. Fibonacci and Lucas Numbers - Electrical equivalence of discrete lumped cascaded T sections with the infinitesimal transmission line of distributed elements and with the Fibonacci and Lucas Numbers of 2n.
9. Fibonacci Facts - Facts about the Fibonacci Sequence.
10. Fibonacci Number-Theorists - Biographies, photographs.
11. Fibonacci Numbers - Describes the mathematic theory behind the numbers.
12. Fibonacci Numbers - Describes the series and lists a some iterations.
13. Fibonacci Numbers and the Golden Section - Fibonacci numbers and the golden section in nature, art, geometry, architecture, music, geometry and even for calculating pi! Puzzles and investigations.
14. Fibonacci Numbers Spelled Out - Derivations usually omitted by gurus and left for the reader to agonize over.
15. Fibonacci Numbers, Phi and the Golden Ratio - Mathematical calculations; explanations of Phi, the Golden Ratio and Golden Rectangles; examples from art, architecture, music and nature.
16. Fibonacci Numbers, the Golden Section and the Golden String - A site about fibonacci numbers in nature, art, geometry, architecture and music.
17. Fibonacci Quarterly - The official publication of the Fibonacci Association tries to serve as a focal point for interest in Fibonacci numbers and related questions, especially with respect to new results, research proposals, challenging problems, and innovative proofs of old ideas.
18. Fibonacci resources - Includes details of systematic matrix derivation of identities for Fibonacci and related sequences.
19. Fibonacci Sequence - Overview article in the Platonic Realms website.
20. Mongoven, Casey - Official site of California-born artist who specializes in Fibonacci and golden proportion compositions. Includes music, art, writings on Fibonacci Numbers, favorite sequences, pictures, contact information, and links. In English and German.
21. Textism - Flash animation describing the series and the Golden Section
22. The Golden Section - A description of the Golden Section and its importance in architecture. Includes instruction on how to construct a Golden Section starting with a square.
23. The Life and Numbers of Fibonacci - An article in PASS mathematics magazine.
24. Willem's Fibonacci site - Provides information about fibonacci numbers, description, formulas and relation to other mathematical issues.

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