{"id":"https://openalex.org/W2058842740","doi":"https://doi.org/10.1016/s0195-6698(13)80057-1","title":"On the Approximation of Catalan Numbers and Other Quantities","display_name":"On the Approximation of Catalan Numbers and Other Quantities","publication_year":1990,"publication_date":"1990-01-01","ids":{"openalex":"https://openalex.org/W2058842740","doi":"https://doi.org/10.1016/s0195-6698(13)80057-1","mag":"2058842740"},"language":"en","primary_location":{"id":"doi:10.1016/s0195-6698(13)80057-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0195-6698(13)80057-1","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"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":"European Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103348244","display_name":"Renzo Sprugnoli","orcid":null},"institutions":[{"id":"https://openalex.org/I4210157811","display_name":"Centro di Ricerca in Matematica Pura ed Applicata","ror":"https://ror.org/04fv5g904","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210157811"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Renzo Sprugnoli","raw_affiliation_strings":["Dipartimento di Matematica Pura e Applicata, Via Belzoni 7, I-35131 Padova, Italy","Dipartimento di Matematica Pura e Applicata, via Belzoni 7, I-35131 Padova, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica Pura e Applicata, Via Belzoni 7, I-35131 Padova, Italy","institution_ids":["https://openalex.org/I4210157811"]},{"raw_affiliation_string":"Dipartimento di Matematica Pura e Applicata, via Belzoni 7, I-35131 Padova, Italy","institution_ids":["https://openalex.org/I4210157811"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103348244"],"corresponding_institution_ids":["https://openalex.org/I4210157811"],"apc_list":{"value":2880,"currency":"USD","value_usd":2880},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.20128652,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"11","issue":"1","first_page":"65","last_page":"72"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9934999942779541,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9934999942779541,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9646000266075134,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9635000228881836,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/catalan-number","display_name":"Catalan number","score":0.9464794397354126},{"id":"https://openalex.org/keywords/catalan","display_name":"Catalan","score":0.8946352005004883},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.893559992313385},{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.7863534688949585},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7296960353851318},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5819185376167297},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46403881907463074},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1575486958026886},{"id":"https://openalex.org/keywords/humanities","display_name":"Humanities","score":0.06059277057647705}],"concepts":[{"id":"https://openalex.org/C43929256","wikidata":"https://www.wikidata.org/wiki/Q270513","display_name":"Catalan number","level":2,"score":0.9464794397354126},{"id":"https://openalex.org/C164105321","wikidata":"https://www.wikidata.org/wiki/Q7026","display_name":"Catalan","level":2,"score":0.8946352005004883},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.893559992313385},{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.7863534688949585},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7296960353851318},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5819185376167297},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46403881907463074},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1575486958026886},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.06059277057647705},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0195-6698(13)80057-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0195-6698(13)80057-1","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"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":"European Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1986545106","https://openalex.org/W1993449345","https://openalex.org/W2085517579","https://openalex.org/W2095209741","https://openalex.org/W2798922842"],"related_works":["https://openalex.org/W2404725689","https://openalex.org/W1653529408","https://openalex.org/W2951311768","https://openalex.org/W4298144150","https://openalex.org/W2331795269","https://openalex.org/W2103167772","https://openalex.org/W1493023638","https://openalex.org/W2340799374","https://openalex.org/W1968233098","https://openalex.org/W1771623007"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}