{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:58Z","timestamp":1753893838619,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>The infinite Fibonacci sequence $\\mathbf{F}$, which is an extension of the classic Fibonacci sequence to the infinite alphabet $\\mathbb{N}$, is the fixed point of the morphism $\\phi$: $(2i)\\mapsto (2i)(2i+1)$ and $(2i+1)\\mapsto (2i+2)$ for all $i\\in\\mathbb{N}$. In this paper, we study the growth order and digit sum of $\\mathbf{F}$\u00a0and give several decompositions of $\\mathbf{F}$ using singular words.<\/jats:p>","DOI":"10.37236\/6745","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T15:53:57Z","timestamp":1578671637000},"source":"Crossref","is-referenced-by-count":2,"title":["Some Properties of the Fibonacci Sequence on an Infinite Alphabet"],"prefix":"10.37236","volume":"24","author":[{"given":"Jiemeng","family":"Zhang","sequence":"first","affiliation":[]},{"given":"Zhixiong","family":"Wen","sequence":"additional","affiliation":[]},{"given":"Wen","family":"Wu","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2017,6,30]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i2p52\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i2p52\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:55:51Z","timestamp":1579236951000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v24i2p52"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6,30]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2017,4,13]]}},"URL":"https:\/\/doi.org\/10.37236\/6745","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2017,6,30]]},"article-number":"P2.52"}}