Definition:Lucas Number/Also defined as
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Lucas Numbers: Also defined as
Some sources start the Lucas numbers at $1, 3$:
- $L_n = \begin{cases} 1 & : n = 1 \\ 3 & : n = 2 \\ L_{n - 1} + L_{n - 2} & : \text{otherwise} \end{cases}$
Sources
- 1980: David M. Burton: Elementary Number Theory (revised ed.) ... (previous) ... (next): Chapter $1$: Some Preliminary Considerations: $1.1$ Mathematical Induction: Example $1 \text{-} 1$
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $11$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $11$
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Lucas sequence