{"created":"2021-03-01T06:39:54.642260+00:00","id":34612,"links":{},"metadata":{"_buckets":{"deposit":"5aad2303-89ed-4423-87d5-35ec9a249688"},"_deposit":{"id":"34612","owners":[],"pid":{"revision_id":0,"type":"depid","value":"34612"},"status":"published"},"_oai":{"id":"oai:teapot.lib.ocha.ac.jp:00034612","sets":["347:359:686"]},"item_11_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2008-02","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"20","bibliographicPageStart":"11","bibliographicVolumeNumber":"58","bibliographic_titles":[{"bibliographic_title":"お茶の水女子大學自然科學報告"}]}]},"item_11_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_11_description_46":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"紀要論文","subitem_description_type":"Other"}]},"item_11_description_7":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"The three series of numbers, Fibonacci (Fn) Lucas, (Ln) and generalized Fibonacci (Gn) are defined to have the same recursive relation, un = u_<n-1>+u_<n-2*> By imposing the following set of initial conditions, f_0=f_1=1, L_1=1 and L_2=3, and G_1=a>0 and G2=b>0 with b>2a, a number of novel identities were found which systematically relate f_n, L_n, and G_n with each other. Further, graph-theoretical interpretation for these relations was obtained by the aid of the continuant, caterpillar graph, and topological index Z which was proposed and developed by the present author.","subitem_description_type":"Other"}]},"item_11_publisher_36":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"お茶の水女子大学"}]},"item_11_select_19":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_11_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00033958","subitem_source_identifier_type":"NCID"}]},"item_11_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00298190","subitem_source_identifier_type":"ISSN"}]},"item_11_subject_20":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"400","subitem_subject_scheme":"NDC"}]},"item_11_text_18":{"attribute_name":"形態","attribute_value_mlt":[{"subitem_text_value":"458928 bytes"}]},"item_11_text_47":{"attribute_name":"資源タイプ・ローカル","attribute_value_mlt":[{"subitem_text_value":"紀要論文"}]},"item_11_text_48":{"attribute_name":"資源タイプ・NII","attribute_value_mlt":[{"subitem_text_value":"Departmental Bulletin Paper"}]},"item_11_text_49":{"attribute_name":"資源タイプ・DCMI","attribute_value_mlt":[{"subitem_text_value":"text"}]},"item_11_text_50":{"attribute_name":"資源タイプ・ローカル表示コード","attribute_value_mlt":[{"subitem_text_value":"03"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hosoya, haruo"}],"nameIdentifiers":[{"nameIdentifier":"70978","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"ホソヤ, ハルオ","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"70979","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-04-19"}],"displaytype":"detail","filename":"58-2p.11-20.pdf","filesize":[{"value":"458.9 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"58-2p.11-20.pdf","url":"https://teapot.lib.ocha.ac.jp/record/34612/files/58-2p.11-20.pdf"},"version_id":"71024eb7-9194-43d2-8f85-af4ab2f38844"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Continuant, caterpillar, and topological index Z. II. Novel identities involving Fibonacci, Lucas, and generalized Fibonacci numbers","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Continuant, caterpillar, and topological index Z. II. Novel identities involving Fibonacci, Lucas, and generalized Fibonacci numbers"}]},"item_type_id":"11","owner":"1","path":["686"],"pubdate":{"attribute_name":"公開日","attribute_value":"2009-10-22"},"publish_date":"2009-10-22","publish_status":"0","recid":"34612","relation_version_is_last":true,"title":["Continuant, caterpillar, and topological index Z. II. Novel identities involving Fibonacci, Lucas, and generalized Fibonacci numbers"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-12T05:38:55.602786+00:00"}