Linked from

The 21 pages that link to Fibonacci sequence, each with the reason it gives.

• IntegerRelated: Its terms are integers generated by a simple recurrence.

• Generating functionBroader topic: Its recurrence yields a rational generating function and a closed formula for its terms.

• SequenceBroader topic: Its recurrence rule makes each term depend on two earlier terms.

• Recurrence relationBroader topic: Its defining rule is a familiar second-order recurrence.

• Arithmetic progressionCompared with: Its terms depend on two predecessors rather than one fixed additive step.

• Golden ratioRelated: Ratios of consecutive terms approach the golden ratio.

• PhyllotaxisRelated: Its consecutive numbers often appear as spiral counts in seed heads and cones.

• FibonacciBroader topic: A rabbit-population puzzle in Liber Abaci introduced the recurrence now associated with his name.

• Pascal's triangleRelated: Adding shallow diagonals of the triangle produces Fibonacci numbers.

• Geometric progressionCompared with: Its terms depend on addition of two predecessors, not one fixed multiplier.

• Liber AbaciBroader topic: The book's famous rabbit problem generates this sequence as a model of successive reproduction.

• Recursive definitionBroader topic: Its familiar terms follow directly from two initial values and one recurrence rule.

• Integer sequenceBroader topic: It is a canonical example defined by a simple recurrence.

• Lucas sequenceCompared with: It obeys the same recurrence but uses different initial values from the classical Lucas numbers.

• Édouard LucasRelated: Lucas investigated Fibonacci numbers and related recurrence sequences.

• HemachandraRelated: Its recurrence matches counts of syllabic patterns under Hemachandra’s two-weight scheme.

• Jia XianCompared with: It is another famous number pattern generated by a simple recurrence, unlike Jia Xian's coefficient triangle.

• D'Arcy Wentworth ThompsonRelated: Fibonacci-like counts and spirals appear in plant growth patterns discussed in this tradition.

• History of combinatoricsBroader topic: The rabbit problem in Liber Abaci made this recurrence a lasting combinatorial example.

• Zeckendorf's theoremNarrower topic: The theorem uses its shifted sequence 1, 2, 3, 5, … as the permitted summands.

• Cassini's identityNarrower topic: Its recurrence supplies all terms in Cassini’s identity.