Lucas number

A kind of number

About Lucas number

Lucas numbers form a sequence like Fibonacci: L_0=2, L_1=1, and L_n = L_{n-1} + L_{n-2}. So 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, …. Named after Édouard Lucas.

Key features

  • Same recurrence as Fibonacci but different initial values.
  • Closely related to the golden ratio and Fibonacci numbers.

Examples:

1, 2, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199

Further reading