The umbral transfer-matrix method, III: Counting animals

New York Journal of Mathematics

Volumn 7, Issue , 2001, Pages 223-231

  Zeilberger, Doron ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

Functional equations; Lattice animals; Polyominoes; Umbral calculus

Indexed keywords

EID: 3042616616     PISSN: 10769803     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. [L] W. F. Lunnon, Counting polyominoes, Computers in Number Theory (A. O. L. Atkin and B. J. Birch, eds.), Academic Press, NY, 1971, pp. 347-372, Zbl 0214.51604.
2. [Z0] Doron Zeilberger, Symbol-crunching with the transfer-matrix method in order to count skinny physical creatures, Integers (http://www.integers-ejcnt.org) 0 (2000), paper A9 (34 pages), MR 2001e:05010, Zbl 0954.82006.
3. [Z1] Doron Zeilberger, The umbral transfer-matrix method. I. Foundations, J. Comb. Theory Ser. A 91 (2000), 451-463, MR 2001g:05018, Zbl 0961.05003.
4. [Z2] Doron Zeilberger, The umbral transfer-matrix method. II. Counting plane partitions, Personal Journal of Ekhad and Zeilberger, http://www.math.rutgers.edu/∼zeilberg/pj.html.
5. [Z4] Doron Zeilberger, The umbral transfer-matrix method. IV. Counting self-avoiding polygons and walks, Elec. J. Comb. 8(1) (2001), R28 (17 pages).
6. [Z5] Doron Zeilberger, The umbral transfer-matrix method. V. The Goulden-Jackson cluster method for infinitely many mistakes, submitted. Available from the author's website.