Plane partitions V: The TSSCPP conjecture

George E. Andrews

doi:10.1016/0097-3165(94)90048-5

Plane partitions V: The TSSCPP conjecture

George E. Andrews

Mathematics

Research output: Contribution to journal › Article › peer-review

76 Scopus citations

Abstract

This paper is devoted to proving the conjecture by Mills, Robbins, and Rumsey that the number of totally symmetric, self-complementary plane partitions in [1, 2n]³ is given by Π_i=0^n-1 (3i+1)!/(n+i)!.

Original language	English (US)
Pages (from-to)	28-39
Number of pages	12
Journal	Journal of Combinatorial Theory, Series A
Volume	66
Issue number	1
DOIs	https://doi.org/10.1016/0097-3165(94)90048-5
State	Published - Apr 1994

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/0097-3165(94)90048-5

Cite this

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title = "Plane partitions V: The TSSCPP conjecture",

abstract = "This paper is devoted to proving the conjecture by Mills, Robbins, and Rumsey that the number of totally symmetric, self-complementary plane partitions in [1, 2n]3 is given by Πi=0n-1 (3i+1)!/(n+i)!.",

author = "Andrews, \{George E.\}",

note = "Funding Information: * Partially supported by National Science Foundation Grant DMS 8702695-03 and the IBM T. J. Watson Research Center.",

year = "1994",

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AU - Andrews, George E.

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PY - 1994/4

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N2 - This paper is devoted to proving the conjecture by Mills, Robbins, and Rumsey that the number of totally symmetric, self-complementary plane partitions in [1, 2n]3 is given by Πi=0n-1 (3i+1)!/(n+i)!.

AB - This paper is devoted to proving the conjecture by Mills, Robbins, and Rumsey that the number of totally symmetric, self-complementary plane partitions in [1, 2n]3 is given by Πi=0n-1 (3i+1)!/(n+i)!.

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DO - 10.1016/0097-3165(94)90048-5

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JO - Journal of Combinatorial Theory, Series A

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IS - 1

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Plane partitions V: The TSSCPP conjecture

Abstract

All Science Journal Classification (ASJC) codes

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