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Fibonacci numbers

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Fibonacci
Leonardo Bonacci ( – ), commonly known as Fibonacci, was an Italian mathematician from the Republic of Pisa, considered to be "the most talented Western mathematician of the Middle Ages".
Fibonacci sequence
entire infinite integer series where the next number is the sum of the two preceding it (0,1,1,2,3,5,8,13,21,...)
Édouard Lucas
French mathematician (1842–1891)
missing square puzzle
optical illusion used in mathematics
Lucas number
number in the Lucas sequence where each number is the sum of the two preceding it (2, 1, 3, 4, 7, 11, ...)
Pingala
Acharya Pingala (; c. 3rd2nd century BCE) was an ancient Indian poet and mathematician, and the author of the '' (), also called the Pingala Sutras'' (), the earliest known treatise on Sanskrit prosody.
Hemachandra
Hemachandra () was a 12th century Śvetāmbara Jaina ācārya, scholar, poet, mathematician, philosopher, yogi, grammarian, law theorist, historian, lexicographer, rhetorician, logician, and prosodist. Noted as a prodigy by his contemporaries, he gained the title kalikālasarvajña, "the knower of all knowledge in his times" and is also regarded as father of the Gujarati language.
Zeckendorf's theorem
theorem that every positive integer can be represented uniquely as the sum of one or more distinct Fibonacci numbers in such a way that the sum doesn’t include any two consecutive Fibonacci numbers
Keith number
integer that appears as a term in a linear recurrence relation with initial terms based on its own digits
Fibonacci heap
heap data structure made of a forest of trees
Markov number
an integer x, y, or z that can solve the Markov equation x^2 + y^2 + z^2 = 3xyz
Fibonacci retracement
technical analysis method (Finance)
reciprocal Fibonacci constant
real number, approximately 3.36, the sum of the reciprocals of the Fibonacci numbers
Fibonacci prime
prime number in the Fibonacci sequence
Fibonacci polynomials
polynomial sequence considered as a generalization of Fibbonacci numbers
Lagged Fibonacci generator
example of a pseudorandom number generator
Pisano period
Period of the Fibonacci sequence modulo an integer
Wall–Sun–Sun prime
type of prime number conjectured to exist
Fibonacci word
infinite binary sequence generated by the Fibonacci recurrence with concatenation in place of addition
Fibonacci coding
universal code
Carmichael's theorem
On prime divisors Fibonacci numbers and Lucas sequences, more generally
Leonardo number
one of a set of numbers that Dijkstra used to explain smoothsort
Fibonacci search technique
method of searching a sorted array
random Fibonacci sequence
randomized mathematical sequence based upon the Fibonacci sequence
Hosoya's triangle
triangular arrangement of numbers based on the Fibonacci numbers
generalizations of Fibonacci numbers
in mathematics
Przemysław Prusinkiewicz
Polish computer scientist
Fibonorial
In mathematics, the Fibonorial , also called the Fibonacci factorial, where is a nonnegative integer, is defined as the product of the first positive Fibonacci numbers, i.e.
Virahanka
Virahanka (Devanagari: विरहाङ्क) was an Indian prosodist who is also known for his work on mathematics. He may have lived in the 6th century, but it is also possible that he worked as late as the 8th century.