WATER CELLS IN COMPOSITIONS OF 1S AND 2S

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dc.contributor.authorHopkins B.
dc.contributor.authorTangboonduangjit A.
dc.contributor.correspondenceHopkins B.
dc.contributor.otherMahidol University
dc.date.accessioned2025-09-23T18:13:56Z
dc.date.available2025-09-23T18:13:56Z
dc.date.issued2025-05-01
dc.description.abstractMansour and Shattuck introduced the notion of water cells for integer compositions in 2018. We focus on compositions with parts restricted to 1 and 2 and consider the array of counts for such compositions of n with k water cells, establishing generating functions for the columns and diagonal sums, recurrences within the array in the spirit of Pascal’s lemma, and connections to other restricted compositions. Most of our proofs are combinatorial, but we also make use of Riordan arrays.
dc.identifier.citationFibonacci Quarterly Vol.63 No.2 (2025) , 400-411
dc.identifier.doi10.1080/00150517.2025.2513335
dc.identifier.issn00150517
dc.identifier.scopus2-s2.0-105016116705
dc.identifier.urihttps://repository.li.mahidol.ac.th/handle/123456789/112228
dc.rights.holderSCOPUS
dc.subjectMathematics
dc.titleWATER CELLS IN COMPOSITIONS OF 1S AND 2S
dc.typeArticle
mu.datasource.scopushttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105016116705&origin=inward
oaire.citation.endPage411
oaire.citation.issue2
oaire.citation.startPage400
oaire.citation.titleFibonacci Quarterly
oaire.citation.volume63
oairecerif.author.affiliationMahidol University
oairecerif.author.affiliationSaint Peter’s University

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