DC FieldValueLanguage
dc.contributor.authorHaupt, Alexander-
dc.date.accessioned2021-04-20T08:06:13Z-
dc.date.available2021-04-20T08:06:13Z-
dc.date.issued2021-
dc.identifier.citationJournal of Integer Sequences 24 (3): 21.3.6 (2021)de_DE
dc.identifier.issn1530-7638de_DE
dc.identifier.urihttp://hdl.handle.net/11420/9335-
dc.description.abstractWe first enumerate a generalization of domino towers that was proposed by Brown, which we call S-omino towers. We establish equations that the generating function must satisfy, and then apply the Lagrange inversion formula to find a closed formula for the number of towers. We also show a connection to generalized Dyck paths and describe an explicit bijection. Finally, we consider the set of row-convex k-omino towers, introduced by Brown, and calculate an exact generating function.en
dc.language.isoende_DE
dc.relation.ispartofJournal of integer sequencesde_DE
dc.subjectBijectionde_DE
dc.subjectConvex polyominode_DE
dc.subjectDominode_DE
dc.subjectLagrange inversionde_DE
dc.titleEnumeration of s-omino towers and row-convex k-omino towersde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishWe first enumerate a generalization of domino towers that was proposed by Brown, which we call S-omino towers. We establish equations that the generating function must satisfy, and then apply the Lagrange inversion formula to find a closed formula for the number of towers. We also show a connection to generalized Dyck paths and describe an explicit bijection. Finally, we consider the set of row-convex k-omino towers, introduced by Brown, and calculate an exact generating function.de_DE
tuhh.publication.instituteMathematik E-10de_DE
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue3de_DE
tuhh.container.volume24de_DE
dc.identifier.scopus2-s2.0-85103838778-
tuhh.container.articlenumber21.3.6de_DE
datacite.resourceTypeJournal Article-
datacite.resourceTypeGeneralText-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.creatorGNDHaupt, Alexander-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.cerifentitytypePublications-
item.creatorOrcidHaupt, Alexander-
item.languageiso639-1en-
item.mappedtypeArticle-
crisitem.author.deptMathematik E-10-
crisitem.author.orcid0000-0003-1919-6325-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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