Definition:Fibonacci Sequence/Also defined as
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Fibonacci Sequence: Also defined as
The Fibonacci sequence can also be seen defined as:
- $1, 1, 2, 3, 5, 8, 13, \ldots$
that is, starting with:
| \(\ds F_1\) | \(=\) | \(\ds 1\) | ||||||||||||
| \(\ds F_2\) | \(=\) | \(\ds 1\) |
instead of with $F_0 = 0$.
Still other sources (and indeed, Fibonacci himself) used:
- $1, 2, 3, 5, 8, 13, \ldots$
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $5$
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): Tables: $3$ The First $40$ Fibonacci Numbers
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $5$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): Tables: $3$ The First $40$ Fibonacci Numbers
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Fibonacci sequence (Fibonacci, 1202)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Fibonacci sequence (Fibonacci, 1202)
- 2008: Ian Stewart: Taming the Infinite ... (previous) ... (next): Chapter $4$: Lure of the Unknown: Cubic equations
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Fibonacci sequence