{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,21]],"date-time":"2026-01-21T05:14:02Z","timestamp":1768972442132,"version":"3.49.0"},"reference-count":35,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS1265673"],"award-info":[{"award-number":["DMS1265673"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS1561945"],"award-info":[{"award-number":["DMS1561945"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Discrete Math."],"published-print":{"date-parts":[[2016,1]]},"DOI":"10.1137\/140996859","type":"journal-article","created":{"date-parts":[[2016,6,22]],"date-time":"2016-06-22T21:25:42Z","timestamp":1466630742000},"page":"1302-1332","source":"Crossref","is-referenced-by-count":7,"title":["A Probabilistic Approach to Generalized Zeckendorf Decompositions"],"prefix":"10.1137","volume":"30","author":[{"given":"Iddo","family":"Ben-Ari","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Steven J.","family":"Miller","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1515\/INTEG.2009.061"},{"key":"atypb2","first-page":"13","volume":"51","author":"Beckwith O.","year":"2013","journal-title":"Fibonacci Quart."},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1080\/03081087.2011.559167"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2015.04.005"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.4064\/aa153-3-1"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1214\/12-PS213"},{"key":"atypb7","first-page":"68","volume":"52","author":"Catral M.","journal-title":"Fibonacci Quart."},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s1-35.2.143"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jnt.2014.01.028"},{"key":"atypb12","first-page":"247","volume":"52","author":"Demontigny P.","year":"2014","journal-title":"Fibonacci Quart."},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.5802\/jtnb.216"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3975(89)90041-8"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1006\/jnth.1997.2044"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1016\/0893-9659(94)90087-6"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.2307\/2322638"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1007\/s00224-005-1231-5"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1016\/0022-314X(90)90070-8"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1016\/0893-9659(94)90025-6"},{"key":"atypb25","first-page":"89","volume":"10","author":"Hoggatt V. E.","year":"1972","journal-title":"Fibonacci Quart."},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1007\/s002240000082"},{"key":"atypb27","first-page":"95","volume":"10","author":"Keller T. J.","year":"1972","journal-title":"Fibonacci Quart."},{"key":"atypb28","first-page":"1","volume":"53","author":"Lamberger M.","year":"2003","journal-title":"Math. Slovaca"},{"key":"atypb29","doi-asserted-by":"publisher","DOI":"10.1007\/s002240010014"},{"key":"atypb30","first-page":"324","volume":"44","author":"Lengyel T.","year":"2006","journal-title":"Fibonacci Quart."},{"key":"atypb31","first-page":"1951","volume":"29","author":"Lekkerkerker C. G.","journal-title":"Simon Stevin"},{"key":"atypb32","first-page":"116","volume":"49","author":"Kolo\u011flu M.","year":"2011","journal-title":"Fibonacci Quart."},{"key":"atypb34","first-page":"413","author":"Manstavi\u010dius E.","year":"1997","journal-title":"Utrecht"},{"key":"atypb35","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1019160258"},{"key":"atypb36","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2012.03.014"},{"key":"atypb37","first-page":"159","author":"Miller S. J.","year":"2014","journal-title":"New York"},{"key":"atypb38","doi-asserted-by":"publisher","DOI":"10.1006\/inco.1994.1076"},{"key":"atypb39","first-page":"A14","volume":"2","author":"Steiner W.","year":"2002","journal-title":"Integers"},{"key":"atypb40","first-page":"60","volume":"43","author":"Steiner W.","year":"2005","journal-title":"Fibonacci Quart."},{"key":"atypb41","doi-asserted-by":"publisher","DOI":"10.1137\/0132060"},{"key":"atypb42","first-page":"179","volume":"41","author":"Zeckendorf E.","year":"1972","journal-title":"Bull. Soc. Roy. Sci. Lie\u0301ge"}],"container-title":["SIAM Journal on Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/140996859","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,1,29]],"date-time":"2017-01-29T08:47:57Z","timestamp":1485679677000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/140996859"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,1]]},"references-count":35,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2016,1]]}},"alternative-id":["10.1137\/140996859"],"URL":"https:\/\/doi.org\/10.1137\/140996859","relation":{},"ISSN":["0895-4801","1095-7146"],"issn-type":[{"value":"0895-4801","type":"print"},{"value":"1095-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,1]]}}}