{"title":"计算矩形 b x h 中的多面体","authors":"Louis MarinUQAM LACIM","doi":"arxiv-2406.16413","DOIUrl":null,"url":null,"abstract":"In this paper, we provide methods to automatically obtain automata that\ngenerate polyominoes inscribed in a rectangle of fixed width and increasing\nheight. We use them to obtain the generating function of those sequences for\nsmall widths.","PeriodicalId":501124,"journal":{"name":"arXiv - CS - Formal Languages and Automata Theory","volume":"309 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Counting Polyominoes in a Rectangle b x h\",\"authors\":\"Louis MarinUQAM LACIM\",\"doi\":\"arxiv-2406.16413\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we provide methods to automatically obtain automata that\\ngenerate polyominoes inscribed in a rectangle of fixed width and increasing\\nheight. We use them to obtain the generating function of those sequences for\\nsmall widths.\",\"PeriodicalId\":501124,\"journal\":{\"name\":\"arXiv - CS - Formal Languages and Automata Theory\",\"volume\":\"309 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - CS - Formal Languages and Automata Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2406.16413\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Formal Languages and Automata Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.16413","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we provide methods to automatically obtain automata that
generate polyominoes inscribed in a rectangle of fixed width and increasing
height. We use them to obtain the generating function of those sequences for
small widths.