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Pell number
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== References == {{refbegin|30em}} *{{cite journal | author = Bicknell, Marjorie | title = A primer on the Pell sequence and related sequences | journal = [[Fibonacci Quarterly]] | volume = 13 | year = 1975 | issue = 4 | pages = 345–349 | doi = 10.1080/00150517.1975.12430627 | mr = 0387173 }} *{{cite journal | author = Cohn, J. H. E. | title = Perfect Pell powers | journal = [[Glasgow Mathematical Journal]] | volume = 38 | year = 1996 | issue = 1 | pages = 19–20 | mr = 1373953 | doi = 10.1017/S0017089500031207| doi-access = free }} *{{cite journal | author = Dutka, Jacques | title = On square roots and their representations | journal = [[Archive for History of Exact Sciences]] | volume = 36 | issue = 1 | year = 1986 | pages = 21–39 | doi = 10.1007/BF00357439 | mr = 0863340 | s2cid = 122277481 }} *{{cite journal | author = Ercolano, Joseph | title = Matrix generators of Pell sequences | journal = [[Fibonacci Quarterly]] | volume = 17 | year = 1979 | issue = 1 | pages = 71–77 | doi = 10.1080/00150517.1979.12430264 | mr = 0525602 }} *{{cite journal | author-link = László Filep | author = Filep, László | title = Pythagorean side and diagonal numbers | journal = [[Acta Mathematica Academiae Paedagogicae Nyíregyháziensis]] | volume = 15 | year = 1999 | pages = 1–7 | url = http://www.emis.de/journals/AMAPN/vol15/filep.pdf | access-date = 2007-01-29 | archive-date = 2020-07-06 | archive-url = https://web.archive.org/web/20200706013018/https://www.emis.de/journals/AMAPN/vol15/filep.pdf | url-status = dead }} *{{cite journal | author = Horadam, A. F. | title = Pell identities | journal = [[Fibonacci Quarterly]] | volume = 9 | year = 1971 | issue = 3 | pages = 245–252, 263 | doi = 10.1080/00150517.1971.12431004 | mr = 0308029 }} *{{cite journal |author1=Kilic, Emrah |author2=Tasci, Dursun | title = The linear algebra of the Pell matrix | journal = Boletín de la Sociedad Matemática Mexicana, Tercera Serie | volume = 11 | year = 2005 | issue = 2 | pages = 163–174 | mr = 2207722 }} *{{cite journal | author = Knorr, Wilbur | author-link = Wilbur Knorr | title = Archimedes and the measurement of the circle: A new interpretation | journal = [[Archive for History of Exact Sciences]] | volume = 15 | issue = 2 | year = 1976 | pages = 115–140 | doi = 10.1007/BF00348496 | mr = 0497462 | s2cid = 120954547 }} *{{cite journal | author = Knorr, Wilbur | author-link = Wilbur Knorr | title="Rational diameters" and the discovery of incommensurability | jstor = 3109803 | journal = [[American Mathematical Monthly]] | volume = 105 | issue = 5 | pages = 421–429 | year = 1998 | doi = 10.2307/3109803}} *{{cite journal | author = Knuth, Donald E. | author-link = Donald Knuth | title = Leaper graphs | jstor = 3620202 | journal = [[The Mathematical Gazette]] | volume = 78 | issue = 483 | year = 1994 | pages = 274–297 | doi = 10.2307/3620202 | arxiv=math.CO/9411240| bibcode = 1994math.....11240K | s2cid = 16856513 }} *{{cite journal | author = Martin, Artemas | author-link = Artemas Martin | title = Rational right angled triangles nearly isosceles | journal = [[Annals of Mathematics|The Analyst]] | volume = 3 | issue = 2 | pages = 47–50 | year = 1875 | jstor = 2635906 | doi = 10.2307/2635906}} *{{cite conference | author = Pethő, A. | title = The Pell sequence contains only trivial perfect powers | book-title = Sets, graphs, and numbers (Budapest, 1991) | publisher = Colloq. Math. Soc. János Bolyai, 60, North-Holland | year = 1992 | pages = 561–568 | mr = 1218218 }} *{{cite journal | doi = 10.2307/2690427 | author = Ridenhour, J. R. | title = Ladder approximations of irrational numbers | journal = [[Mathematics Magazine]] | year = 1986 | volume = 59 | issue = 2 | pages = 95–105 | jstor = 2690427}} *{{cite journal |last1 = Falcón Santana | first1 = Sergio |last2 = Díaz-Barrero | first2 = José Luis |year = 2006 |title = Some properties of sums involving Pell numbers |journal = [[Missouri Journal of Mathematical Sciences]] |volume = 18 |issue = 1 |doi=10.35834/2006/1801033|doi-access=free |hdl= 10553/72698 |hdl-access= free }} *{{cite journal | author = Sellers, James A. | title = Domino tilings and products of Fibonacci and Pell numbers | year = 2002 | journal = [[Journal of Integer Sequences]] | volume = 5 | page = 12 | bibcode = 2002JIntS...5...12S | url = http://www.emis.de/journals/JIS/VOL5/Sellers/sellers4.pdf | mr = 1919941 | access-date = 2007-01-28 | archive-date = 2020-07-05 | archive-url = https://web.archive.org/web/20200705231252/https://www.emis.de/journals/JIS/VOL5/Sellers/sellers4.pdf | url-status = dead }} *{{cite journal | doi = 10.2307/2688551 | author = Sesskin, Sam | title = A "converse" to Fermat's last theorem? | journal = [[Mathematics Magazine]] | volume = 35 | issue = 4 | year = 1962 | pages = 215–217 | jstor=2688551}} *{{cite journal | author = Thibaut, George | author-link = George Thibaut | title = On the Súlvasútras | journal = [[Journal of the Royal Asiatic Society of Bengal]] | volume = 44 | pages = 227–275 | year = 1875}} *{{cite journal | author = Thompson, D'Arcy Wentworth | author-link = D'Arcy Wentworth Thompson | title = III.—Excess and defect: or the little more and the little less | journal = [[Mind (journal)|Mind]] |series=New Series | year = 1929 | volume = 38 | issue = 149 | pages = 43–55 | doi = 10.1093/mind/XXXVIII.149.43 | jstor = 2249223}} *{{cite journal | author = Vedova, G. C. | title = Notes on Theon of Smyrna | jstor = 2307978 | journal = [[American Mathematical Monthly]] | year = 1951 | volume = 58 | issue = 10 | pages = 675–683 | doi = 10.2307/2307978}} {{refend}}
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