On Invariance Properties of Entries of Matrix Powers

zbMath1489.15024arXiv2107.13092MaRDI QIDQ5083390

Shalosh B. XIV Ekhad, Doron Zeilberger

Publication date: 23 June 2022

Full work available at URL: https://arxiv.org/abs/2107.13092

zbMATH Keywords

matrix powersbijective proofsCayley-HamiltonLarcombe relationsweight-enumerator

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Matrix equations and identities (15A24)

Related Items (1)

Generalized Larcombe–Fenessey invariants of matrix powers

Uses Software

• Maple
• Cfinite

Cites Work

• The concrete tetrahedron. Symbolic sums, recurrence equations, generating functions, asymptotic estimates
• The \(C\)-finite ansatz
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