{"id":"https://openalex.org/W2076752886","doi":"https://doi.org/10.1016/s0012-365x(02)00372-2","title":"No iterated morphism generates any Arshon sequence of odd order","display_name":"No iterated morphism generates any Arshon sequence of odd order","publication_year":2002,"publication_date":"2002-10-21","ids":{"openalex":"https://openalex.org/W2076752886","doi":"https://doi.org/10.1016/s0012-365x(02)00372-2","mag":"2076752886"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(02)00372-2","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0012-365x(02)00372-2","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0012365X02003722/pdf","source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0012365X02003722/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065770361","display_name":"James D. Currie","orcid":"https://orcid.org/0000-0002-0061-3849"},"institutions":[{"id":"https://openalex.org/I872945872","display_name":"University of Winnipeg","ror":"https://ror.org/02gdzyx04","country_code":"CA","type":"education","lineage":["https://openalex.org/I872945872"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"James D. Currie","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Winnipeg, Man., Canada R3B 2E9","Department of Mathematics and Statistics, University of Winnipeg, Man., Canada R3B 2E9#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Winnipeg, Man., Canada R3B 2E9","institution_ids":["https://openalex.org/I872945872"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Winnipeg, Man., Canada R3B 2E9#TAB#","institution_ids":["https://openalex.org/I872945872"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065770361"],"corresponding_institution_ids":["https://openalex.org/I872945872"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":1.1686,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.78674643,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"259","issue":"1-3","first_page":"277","last_page":"283"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.9294025897979736},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.8974770307540894},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8483941555023193},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7913813591003418},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6896094083786011},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5590530633926392},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.443319171667099}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.9294025897979736},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.8974770307540894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8483941555023193},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7913813591003418},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6896094083786011},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5590530633926392},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.443319171667099},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0012-365x(02)00372-2","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0012-365x(02)00372-2","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0012365X02003722/pdf","source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.92.6901","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.92.6901","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lacim.uqam.ca/~plouffe/OEIS/archive_in_pdf/arshon.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1016/s0012-365x(02)00372-2","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0012-365x(02)00372-2","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0012365X02003722/pdf","source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2076752886.pdf","grobid_xml":"https://content.openalex.org/works/W2076752886.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W252604522","https://openalex.org/W600852147","https://openalex.org/W1982787058","https://openalex.org/W2003927948","https://openalex.org/W2025237878","https://openalex.org/W2086965829"],"related_works":["https://openalex.org/W2952244080","https://openalex.org/W1481670130","https://openalex.org/W856865640","https://openalex.org/W2768503191","https://openalex.org/W2039550936","https://openalex.org/W4251409357","https://openalex.org/W2139158010","https://openalex.org/W2328639173","https://openalex.org/W1973184666","https://openalex.org/W2088134950"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}