Publication:
STATISTICS of DOMINO TILINGS on A RECTANGULAR BOARD

Issued Date

2020-12-01

Resource Type

Article

ISSN

00150517

Other identifier(s)

2-s2.0-85097473289

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Fibonacci Quarterly. Vol.57, No.5 (2020), 145-153

Suggested Citation

Thotsaporn Aek Thanatipanonda STATISTICS of DOMINO TILINGS on A RECTANGULAR BOARD. Fibonacci Quarterly. Vol.57, No.5 (2020), 145-153. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/60506

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Title

STATISTICS of DOMINO TILINGS on A RECTANGULAR BOARD

Author(s)

Thotsaporn Aek Thanatipanonda

Other Contributor(s)

Mahidol University

Abstract

© 2019 Fibonacci Association. All rights reserved. It is well-known that the Fibonacci sequence, Fn, is the number of ways to cover a 2-by-(n−1) board using only horizontal (H) or vertical (V) 2-by-1 dominoes. The number of ways to tile a rectangular m-by-n board by these dominoes was given in 1961 by Kasteleyn through the evaluation of a determinant. In this paper, we apply an automated method for the mixed moments E[VaHb] for fixed non-negative integers a,b on a general m-by-n board. These moments will give information about the distribution of “V-H statistics”. This is an implementation of the work of Zeilberger.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/60506

Collections

Scopus 2020