Zeckendorf's theorem relates every positive integer to these numbers, which are used in a lagged pseudo-random number generator. These numbers can be 
Zeckendorf's theorem relates every positive integer to these numbers, which are used in a lagged pseudo-random number generator. These numbers can be used to search sorted arrays in data structures more flexible than binomial heaps. Binet's formula can be used to find terms in this series, and Lucas is the namesake of a sequence that has its same recursion relation. The ratio between its successive terms approaches the golden ratio, and each term in this series is the sum of its two predecessors. For 10 points, name these numbers named after an Italian mathematician.
Zeckendorf's theorem relates every positive integer to these numbers, which are used in a lagged pseudo-random number generator.
Fibonacci numbers [or Fibonacci series; or Fibonacci sequence]