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

Markus Fulmek; Christian Krattenthaler

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

Markus Fulmek
, Christian Krattenthaler

Institut für Mathematik

Veröffentlichungen: Beitrag in Fachzeitschrift › Artikel › Peer Reviewed

Abstract

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. Œ 2000 Academic Press.

Originalsprache	Englisch
Seiten (von - bis)	601-640
Seitenumfang	40
Fachzeitschrift	European Journal of Combinatorics
Jahrgang	21
Ausgabenummer	5
Publikationsstatus	Veröffentlicht - 2000

ÖFOS 2012

1010 Mathematik

Zitationsweisen

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N2 - 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. Œ 2000 Academic Press.

AB - 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. Œ 2000 Academic Press.

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JO - European Journal of Combinatorics

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

Abstract

ÖFOS 2012

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