The umbral transfer-matrix method. III: Counting animals

zbMath0987.05009MaRDI QIDQ5949338

Doron Zeilberger

Publication date: 10 December 2001

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/121843

zbMATH Keywords

umbral calculusfunctional equationscounting animalslattice animalspolyominoes

Mathematics Subject Classification ID

Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) Polyominoes (05B50) Software, source code, etc. for problems pertaining to statistical mechanics (82-04)

Related Items (4)

Convex polyominoes revisited: enumeration of outer site perimeter, interior vertices, and boundary vertices of certain degrees ⋮ Using Rota's Umbral calculus to enumerate Stanley's \(P\)-partitions ⋮ Exactly Solved Models ⋮ The umbral transfer-matrix method. I: Foundations

Uses Software

• Maple
• ZOO
• USAP
• USAW
• MAYLIS
• ROTA
• MARKOV
• ANIMALS
• FreeANIMALS
• SAP
• FreeSAP
• SAW
• FreeSAW

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