Publication: STATISTICS of DOMINO TILINGS on A RECTANGULAR BOARD
| dc.contributor.author | Thotsaporn Aek Thanatipanonda | en_US |
| dc.contributor.other | Mahidol University | en_US |
| dc.date.accessioned | 2020-12-28T05:57:30Z | |
| dc.date.available | 2020-12-28T05:57:30Z | |
| dc.date.issued | 2020-12-01 | en_US |
| dc.description.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. | en_US |
| dc.identifier.citation | Fibonacci Quarterly. Vol.57, No.5 (2020), 145-153 | en_US |
| dc.identifier.issn | 00150517 | en_US |
| dc.identifier.other | 2-s2.0-85097473289 | en_US |
| dc.identifier.uri | https://repository.li.mahidol.ac.th/handle/20.500.14594/60506 | |
| dc.rights | Mahidol University | en_US |
| dc.rights.holder | SCOPUS | en_US |
| dc.source.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85097473289&origin=inward | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | STATISTICS of DOMINO TILINGS on A RECTANGULAR BOARD | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| mu.datasource.scopus | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85097473289&origin=inward | en_US |