On some identities for balancing and cobalancing numbers

Detalhes bibliográficos
Autor(a) principal: Campos, Helena
Data de Publicação: 2015
Outros Autores: Catarino, Paula, Vasco, Paulo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10348/6733
Resumo: As a consequence of the Binet formula for balancing, cobalancing, square triangular, Lucas-balancing and Lucas-cobalancing numbers, we provide some formulas for these sequences explicitly, which can have certain importance or applications in most recently investigations in this area. Also we give another expression for the general term of each sequence, using the ordinary generating function.
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spelling On some identities for balancing and cobalancing numbersBalancing numberCobalancing number.Binet’s formulaGenerating functionAs a consequence of the Binet formula for balancing, cobalancing, square triangular, Lucas-balancing and Lucas-cobalancing numbers, we provide some formulas for these sequences explicitly, which can have certain importance or applications in most recently investigations in this area. Also we give another expression for the general term of each sequence, using the ordinary generating function.Tibor Tómács2016-11-07T12:29:41Z2015-01-01T00:00:00Z2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10348/6733eng1787-5021 (Print)1787-6117 (Online)Campos, HelenaCatarino, PaulaVasco, Pauloinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-11-24T02:06:34Zoai:repositorio.utad.pt:10348/6733Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-11-24T02:06:34Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On some identities for balancing and cobalancing numbers
title On some identities for balancing and cobalancing numbers
spellingShingle On some identities for balancing and cobalancing numbers
Campos, Helena
Balancing number
Cobalancing number.
Binet’s formula
Generating function
title_short On some identities for balancing and cobalancing numbers
title_full On some identities for balancing and cobalancing numbers
title_fullStr On some identities for balancing and cobalancing numbers
title_full_unstemmed On some identities for balancing and cobalancing numbers
title_sort On some identities for balancing and cobalancing numbers
author Campos, Helena
author_facet Campos, Helena
Catarino, Paula
Vasco, Paulo
author_role author
author2 Catarino, Paula
Vasco, Paulo
author2_role author
author
dc.contributor.author.fl_str_mv Campos, Helena
Catarino, Paula
Vasco, Paulo
dc.subject.por.fl_str_mv Balancing number
Cobalancing number.
Binet’s formula
Generating function
topic Balancing number
Cobalancing number.
Binet’s formula
Generating function
description As a consequence of the Binet formula for balancing, cobalancing, square triangular, Lucas-balancing and Lucas-cobalancing numbers, we provide some formulas for these sequences explicitly, which can have certain importance or applications in most recently investigations in this area. Also we give another expression for the general term of each sequence, using the ordinary generating function.
publishDate 2015
dc.date.none.fl_str_mv 2015-01-01T00:00:00Z
2015
2016-11-07T12:29:41Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10348/6733
url http://hdl.handle.net/10348/6733
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1787-5021 (Print)
1787-6117 (Online)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Tibor Tómács
publisher.none.fl_str_mv Tibor Tómács
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv mluisa.alvim@gmail.com
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