Advanced Counting: Examples

Related lectures (21)

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Explores the Fibonacci sequence, identities, golden ratio, and explicit formulas.

Explores linear recurrence relations, including examples like the Fibonacci numbers and the proof of related theorems.

Explores solving linear homogeneous recurrence relations and generating functions for sequence formulas.

Covers the definition of recurrence relations and their application in counting problems.

Explores counting with recurrence relations, linear recurrence relations, generating functions, and counting principles.

Explores linear homogeneous recurrence relations, solving techniques, characteristic equations, and examples like Fibonacci numbers.

Covers the definition of generating functions and their application in solving recurrence relations.

Explores generating functions, recurrence relations, and advanced counting techniques.

Explores matrix recurrence relations, eigenvalues, Fibonacci sequence, and the golden ratio in linear algebra.

Covers the identification of number sequences and solving recurrence relations.