{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T23:33:14Z","timestamp":1649115194424},"reference-count":3,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2017,4]]},"abstract":"<jats:p> Galileo sequences are generalizations of a simple sequence of integers that Galileo used in early 17th century for describing his law of falling bodies. The curious property he noted happens to be exactly what is needed to quantify his observation that the acceleration of falling bodies is uniform. Among the generalizations and extensions later given are iterated Galileo sequences. We show that these are closely related to polynomials that arise in enumerating integers by their Hamming weight. <\/jats:p>","DOI":"10.1142\/s179383091750015x","type":"journal-article","created":{"date-parts":[[2016,12,23]],"date-time":"2016-12-23T18:17:02Z","timestamp":1482517022000},"page":"1750015","source":"Crossref","is-referenced-by-count":0,"title":["A note on iterated galileo sequences"],"prefix":"10.1142","volume":"09","author":[{"given":"\u00d6mer","family":"E\u011fecio\u011flu","sequence":"first","affiliation":[{"name":"Department of Computer Science, University of California, Santa Barbara, California 93106, USA"}]}],"member":"219","published-online":{"date-parts":[[2017,4,13]]},"reference":[{"key":"S179383091750015XBIB001","unstructured":"S. Drake ,  Galileo Studies  (University of Michigan Press, 1970),  pp. 218\u2013219."},{"key":"S179383091750015XBIB002","doi-asserted-by":"publisher","DOI":"10.2307\/2978135"},{"key":"S179383091750015XBIB003","doi-asserted-by":"publisher","DOI":"10.2307\/2319798"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S179383091750015X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T13:14:10Z","timestamp":1565183650000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S179383091750015X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,4]]},"references-count":3,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2017,4,13]]},"published-print":{"date-parts":[[2017,4]]}},"alternative-id":["10.1142\/S179383091750015X"],"URL":"https:\/\/doi.org\/10.1142\/s179383091750015x","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,4]]}}}