Explicit formulas for the members of this series include Binet's Formula, while the number of ways to tile a 2 by n board with 1 by 2 dominoes helps explain its most famous characteristic.
Pisano periods are concerned with repetitions in these entities, while the Gellin-Cesaro identity relates five members of this set. The divisibility of entities in this set by a prime p are related to the Legendre symbol of p over 5. According to Zeckendorf's Theorem, every positive integer can be written as a sum of one or more distinct terms in this set. Yuri Matiyasevich used these entities to show that Hilbert's Tenth Problem was unsolvable, and its generating function is the reciprocal of (*) 1-x-x squared. Explicit formulas for the members of this series include Binet's Formula, while the number of ways to tile a 2 by n board with 1 by 2 dominoes helps explain its most famous characteristic. For 10 points, name these entities which satisfy the recurrence F sub n equals F sub n-1+F sub n-2, in which the ratio of consecutive terms is equal to the golden ratio and begins 1, 1, 2, 3, 5, 8.
Pisano periods are concerned with repetitions in these entities, while the Gellin-Cesaro identity relates five members of this set.
{Fibonacci numbers} or {Fibonacci sequence}