{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:41:08Z","timestamp":1740123668582,"version":"3.37.3"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2020,3,19]],"date-time":"2020-03-19T00:00:00Z","timestamp":1584576000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,3,19]],"date-time":"2020-03-19T00:00:00Z","timestamp":1584576000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2021,2]]},"DOI":"10.1007\/s11075-020-00912-x","type":"journal-article","created":{"date-parts":[[2020,3,19]],"date-time":"2020-03-19T06:02:46Z","timestamp":1584597766000},"page":"799-812","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Fast computation of binomial coefficients"],"prefix":"10.1007","volume":"86","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3884-2177","authenticated-orcid":false,"given":"Leonardo C.","family":"Araujo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jo\u00e3o P. H.","family":"Sans\u00e3o","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Adriano S.","family":"Vale-Cardoso","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,3,19]]},"reference":[{"key":"912_CR1","unstructured":"Eaton, J.W.: Gnu octave (version 5.1.0). https:\/\/octave.org\/doc\/v5.1.0\/Numeric-Data-Types.html (2018)"},{"issue":"4","key":"912_CR2","doi-asserted-by":"publisher","first-page":"360","DOI":"10.1080\/00029890.1987.12000648","volume":"94","author":"P Goetgheluck","year":"1987","unstructured":"Goetgheluck, P.: Computing binomial coefficients. Am. Math. Mon. 94(4), 360 (1987)","journal-title":"Am. Math. Mon."},{"key":"912_CR3","unstructured":"Wolfram Research, Inc. Wolfram\u2014alpha. https:\/\/www.wolframalpha.com\/"},{"key":"912_CR4","unstructured":"Keprt, A.: Simple and fast computation of binomial coefficients. In: Wofex 2006, pp. 346\u2013351, V\u0160B Technical University, Ostrava, Czech Republic, ISBN 80-248-1152-9 (2006)"},{"key":"912_CR5","unstructured":"Knuth, D.E.: The Art of Computer Programming: Volume 1: Fundamental Algorithms. Addison Wesley. ISBN 0-201-89683-4 (1997)"},{"key":"912_CR6","doi-asserted-by":"crossref","unstructured":"Koepf, W.: Hypergeometric Summation: An Algorithmic Approach to Summation and Special Function Identities (Advanced Lectures in Mathematics). Vieweg Teubner Verlag. ISBN 3528069503 (1998)","DOI":"10.1007\/978-3-322-92918-1"},{"issue":"4","key":"912_CR7","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1145\/820127.820168","volume":"34","author":"Y Manolopoulos","year":"2002","unstructured":"Manolopoulos, Y.: Binomial coefficient computation: recursion or iteration?. ACM SIGCSE Bullet. 34(4), 65 (2002). https:\/\/doi.org\/10.1145\/820127.820168","journal-title":"ACM SIGCSE Bullet."},{"key":"912_CR8","unstructured":"McKeeman, B.: Matlab performance measurement. Technical report, Mathworks. https:\/\/www.mathworks.com\/matlabcentral\/fileexchange\/18510-matlab-performance-measurement. [Online; accessed 03-Feb-2020] (2008)"},{"issue":"2","key":"912_CR9","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1145\/571922.571950","volume":"33","author":"T Rolfe","year":"2001","unstructured":"Rolfe, T.: Binomial coefficient recursion. ACM SIGCSE Bullet. 33(2), 35 (2001). https:\/\/doi.org\/10.1145\/571922.571950","journal-title":"ACM SIGCSE Bullet."},{"key":"912_CR10","unstructured":"Wells, D.: The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books. ISBN 0140080295 (1987)"},{"key":"912_CR11","doi-asserted-by":"crossref","unstructured":"Widrow, B., Koll\u00e1r, I.: Quantization Noise: Roundoff Error in Digital Computation, Signal Processing, Control, and Communications. Cambridge University Press. ISBN 9780521886710 (2008)","DOI":"10.1017\/CBO9780511754661"},{"key":"912_CR12","unstructured":"Wikipedia contributors. Double-precision floating-point format - Wikipedia, the free encyclopedia. https:\/\/en.wikipedia.org\/wiki\/Double-precision_floating-point_format. [Online; accessed 17-May-2019] (2019)"}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-020-00912-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-020-00912-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-020-00912-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,19]],"date-time":"2021-03-19T01:28:12Z","timestamp":1616117292000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-020-00912-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,3,19]]},"references-count":12,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,2]]}},"alternative-id":["912"],"URL":"https:\/\/doi.org\/10.1007\/s11075-020-00912-x","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"type":"print","value":"1017-1398"},{"type":"electronic","value":"1572-9265"}],"subject":[],"published":{"date-parts":[[2020,3,19]]},"assertion":[{"value":"7 June 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 February 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 March 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}