✦ LIBER ✦

The Number of Rhombus Tilings of a Symmetric Hexagon which Contain a Fixed Rhombus on the Symmetry Axis, II

✍ Scribed by M. Fulmek; C. Krattenthaler

Book ID: 102966569
Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 554 KB
Volume: 21
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1999.0367

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✦ Synopsis

We compute the number of rhombus tilings of a hexagon with side lengths N , M, N , N , M, N , with N and M having the same parity, which contain a particular rhombus next to the center of the hexagon. The special case N = M of one of our results solves a problem posed by Propp. In the proofs, Hankel determinants featuring Bernoulli numbers play an important role.

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