斐波那契数 (Chinese Wikipedia)

Analysis of information sources in references of the Wikipedia article "斐波那契数" in Chinese language version.

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amnh.org

The Secret of the Fibonacci Sequence in Trees. 美國自然史博物館. 2011 [2019-02-04]. （原始内容存档于2013-05-04）.

ams.org

Cohn, J. H. E., On square Fibonacci numbers, The Journal of the London Mathematical Society, 1964, 39: 537–540, MR 0163867, doi:10.1112/jlms/s1-39.1.537
Pethő, Attila. Diophantine properties of linear recursive sequences II. Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. 2001, 17: 81–96. MR 1887650.
Bugeaud, Y; Mignotte, M; Siksek, S. Classical and modular approaches to exponential Diophantine equations. I. Fibonacci and Lucas perfect powers. Ann. Math. 2006, 2 (163): 969–1018. Bibcode:2004math......3046B. MR 2215137. S2CID 10266596. arXiv:math/0403046 . doi:10.4007/annals.2006.163.969.
Luo, Ming. On triangular Fibonacci numbers (PDF). Fibonacci Quart. 1989, 27 (2): 98–108 [2022-10-29]. MR 0995557. （原始内容存档 (PDF)于2022-10-29）.
Luca, Florian. Perfect Fibonacci and Lucas numbers. Rendiconti del Circolo Matematico di Palermo. 2000, 49 (2): 313–18. ISSN 1973-4409. MR 1765401. S2CID 121789033. doi:10.1007/BF02904236.
Broughan, Kevin A.; González, Marcos J.; Lewis, Ryan H.; Luca, Florian; Mejía Huguet, V. Janitzio; Togbé, Alain. There are no multiply-perfect Fibonacci numbers. Integers. 2011, 11a: A7 [2022-10-29]. MR 2988067. （原始内容存档于2022-01-23）.
Luca, Florian; Mejía Huguet, V. Janitzio. On Perfect numbers which are ratios of two Fibonacci numbers. Annales Mathematicae at Informaticae. 2010, 37: 107–24. ISSN 1787-6117. MR 2753031.

archive.org

Jones, Judy; Wilson, William. Science. An Incomplete Education. Ballantine Books. 2006: 544. ISBN 978-0-7394-7582-9.

archive.today

JOHN H. E. COHN. Square Fibonacci Numbers, Etc.. Bedford College, University of London, London, N.W.1. [2019-05-12]. （原始内容存档于2012-06-30）. Theorem 3. If F_n = x², then n = 0, ±1, 2 or 12.

arxiv.org

Bugeaud, Y; Mignotte, M; Siksek, S. Classical and modular approaches to exponential Diophantine equations. I. Fibonacci and Lucas perfect powers. Ann. Math. 2006, 2 (163): 969–1018. Bibcode:2004math......3046B. MR 2215137. S2CID 10266596. arXiv:math/0403046 . doi:10.4007/annals.2006.163.969.

asu.edu

math.la.asu.edu

JOHN H. E. COHN. Square Fibonacci Numbers, Etc.. Bedford College, University of London, London, N.W.1. [2019-05-12]. （原始内容存档于2012-06-30）. Theorem 3. If F_n = x², then n = 0, ±1, 2 or 12.

books.google.com

Livio 2003，第110頁. Livio, Mario. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number First trade paperback. New York City: Broadway Books. 2003 [2002] [2022-10-30]. ISBN 0-7679-0816-3. （原始内容存档于2023-03-13）.
Livio 2003，第112–13頁. Livio, Mario. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number First trade paperback. New York City: Broadway Books. 2003 [2002] [2022-10-30]. ISBN 0-7679-0816-3. （原始内容存档于2023-03-13）.

cnki.com.cn

斐波那契数列与组合数的一个关系及推广. [2014-01-04]. （原始内容存档于2019-05-02）.

colgate.edu

math.colgate.edu

Broughan, Kevin A.; González, Marcos J.; Lewis, Ryan H.; Luca, Florian; Mejía Huguet, V. Janitzio; Togbé, Alain. There are no multiply-perfect Fibonacci numbers. Integers. 2011, 11a: A7 [2022-10-29]. MR 2988067. （原始内容存档于2022-01-23）.

cs4fn.org

Marks for the da Vinci Code: B–, Maths (Computer Science For Fun: CS4FN), [2022-10-30], （原始内容存档于2009-05-31）

doi.org

Douady, S; Couder, Y. Phyllotaxis as a Dynamical Self Organizing Process (PDF). Journal of Theoretical Biology. 1996, 178 (3): 255–74. ISSN 0022-5193. doi:10.1006/jtbi.1996.0026. （原始内容 (PDF)存档于2006-05-26）.
Cohn, J. H. E., On square Fibonacci numbers, The Journal of the London Mathematical Society, 1964, 39: 537–540, MR 0163867, doi:10.1112/jlms/s1-39.1.537
Bugeaud, Y; Mignotte, M; Siksek, S. Classical and modular approaches to exponential Diophantine equations. I. Fibonacci and Lucas perfect powers. Ann. Math. 2006, 2 (163): 969–1018. Bibcode:2004math......3046B. MR 2215137. S2CID 10266596. arXiv:math/0403046 . doi:10.4007/annals.2006.163.969.
Luca, Florian. Perfect Fibonacci and Lucas numbers. Rendiconti del Circolo Matematico di Palermo. 2000, 49 (2): 313–18. ISSN 1973-4409. MR 1765401. S2CID 121789033. doi:10.1007/BF02904236.
Freyd, Peter; Brown, Kevin S. Problems and Solutions: Solutions: E3410. The American Mathematical Monthly. 1993, 99 (3): 278–79. JSTOR 2325076. doi:10.2307/2325076.

ektf.hu

ami.ektf.hu

Luca, Florian; Mejía Huguet, V. Janitzio. On Perfect numbers which are ratios of two Fibonacci numbers. Annales Mathematicae at Informaticae. 2010, 37: 107–24. ISSN 1787-6117. MR 2753031.

harvard.edu

ui.adsabs.harvard.edu

Bugeaud, Y; Mignotte, M; Siksek, S. Classical and modular approaches to exponential Diophantine equations. I. Fibonacci and Lucas perfect powers. Ann. Math. 2006, 2 (163): 969–1018. Bibcode:2004math......3046B. MR 2215137. S2CID 10266596. arXiv:math/0403046 . doi:10.4007/annals.2006.163.969.

jstor.org

Freyd, Peter; Brown, Kevin S. Problems and Solutions: Solutions: E3410. The American Mathematical Monthly. 1993, 99 (3): 278–79. JSTOR 2325076. doi:10.2307/2325076.

math.ca

fq.math.ca

TREEBY, DAVID. HIDDEN FORMULAS IN FIBONACCI TILINGS (PDF). THE FIBONACCI QUARTERLY. 2016-02, 54 (1): 29. （原始内容存档 (PDF)于2024-02-01）.
Luo, Ming. On triangular Fibonacci numbers (PDF). Fibonacci Quart. 1989, 27 (2): 98–108 [2022-10-29]. MR 0995557. （原始内容存档 (PDF)于2022-10-29）.

ntnu.no

math.ntnu.no

Douady, S; Couder, Y. Phyllotaxis as a Dynamical Self Organizing Process (PDF). Journal of Theoretical Biology. 1996, 178 (3): 255–74. ISSN 0022-5193. doi:10.1006/jtbi.1996.0026. （原始内容 (PDF)存档于2006-05-26）.

numilog.com

Varenne, Franck. Formaliser le vivant - Lois, Théories, Modèles. Hermann. 2010-11-16: 28 [2022-10-30]. ISBN 9782705678128. （原始内容存档于2022-10-30）.

oeis.org

Sloane, N.J.A. (编). Sequence A005478. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
Sloane, N.J.A. (编). Sequence A001175. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

semanticscholar.org

api.semanticscholar.org

Bugeaud, Y; Mignotte, M; Siksek, S. Classical and modular approaches to exponential Diophantine equations. I. Fibonacci and Lucas perfect powers. Ann. Math. 2006, 2 (163): 969–1018. Bibcode:2004math......3046B. MR 2215137. S2CID 10266596. arXiv:math/0403046 . doi:10.4007/annals.2006.163.969.
Luca, Florian. Perfect Fibonacci and Lucas numbers. Rendiconti del Circolo Matematico di Palermo. 2000, 49 (2): 313–18. ISSN 1973-4409. MR 1765401. S2CID 121789033. doi:10.1007/BF02904236.

shs.edu.tw

李晨滔、馮勁敏. 費氏數列的性質整理 (PDF). 桃園縣立大園國際高中. [2018-01-28]. （原始内容存档 (PDF)于2019-06-25）.

st-andrews.ac.uk

www-history.mcs.st-andrews.ac.uk

Scott, T.C.; Marketos, P., On the Origin of the Fibonacci Sequence (PDF), MacTutor History of Mathematics archive, University of St Andrews, 2014-03 [2022-10-30], （原始内容存档 (PDF)于2019-09-18）

web.archive.org

斐波那契数列与组合数的一个关系及推广. [2014-01-04]. （原始内容存档于2019-05-02）.
Douady, S; Couder, Y. Phyllotaxis as a Dynamical Self Organizing Process (PDF). Journal of Theoretical Biology. 1996, 178 (3): 255–74. ISSN 0022-5193. doi:10.1006/jtbi.1996.0026. （原始内容 (PDF)存档于2006-05-26）.
Marks for the da Vinci Code: B–, Maths (Computer Science For Fun: CS4FN), [2022-10-30], （原始内容存档于2009-05-31）
Scott, T.C.; Marketos, P., On the Origin of the Fibonacci Sequence (PDF), MacTutor History of Mathematics archive, University of St Andrews, 2014-03 [2022-10-30], （原始内容存档 (PDF)于2019-09-18）
Livio 2003，第110頁. Livio, Mario. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number First trade paperback. New York City: Broadway Books. 2003 [2002] [2022-10-30]. ISBN 0-7679-0816-3. （原始内容存档于2023-03-13）.
Livio 2003，第112–13頁. Livio, Mario. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number First trade paperback. New York City: Broadway Books. 2003 [2002] [2022-10-30]. ISBN 0-7679-0816-3. （原始内容存档于2023-03-13）.
Varenne, Franck. Formaliser le vivant - Lois, Théories, Modèles. Hermann. 2010-11-16: 28 [2022-10-30]. ISBN 9782705678128. （原始内容存档于2022-10-30）.
The Secret of the Fibonacci Sequence in Trees. 美國自然史博物館. 2011 [2019-02-04]. （原始内容存档于2013-05-04）.
李晨滔、馮勁敏. 費氏數列的性質整理 (PDF). 桃園縣立大園國際高中. [2018-01-28]. （原始内容存档 (PDF)于2019-06-25）.
TREEBY, DAVID. HIDDEN FORMULAS IN FIBONACCI TILINGS (PDF). THE FIBONACCI QUARTERLY. 2016-02, 54 (1): 29. （原始内容存档 (PDF)于2024-02-01）.
Luo, Ming. On triangular Fibonacci numbers (PDF). Fibonacci Quart. 1989, 27 (2): 98–108 [2022-10-29]. MR 0995557. （原始内容存档 (PDF)于2022-10-29）.
Broughan, Kevin A.; González, Marcos J.; Lewis, Ryan H.; Luca, Florian; Mejía Huguet, V. Janitzio; Togbé, Alain. There are no multiply-perfect Fibonacci numbers. Integers. 2011, 11a: A7 [2022-10-29]. MR 2988067. （原始内容存档于2022-01-23）.
Adelson-Velsky, Georgy; Landis, Evgenii. An algorithm for the organization of information. Proceedings of the USSR Academy of Sciences（英语：Proceedings of the USSR Academy of Sciences）. 1962, 146: 263–266 （俄语）. Myron J. Ricci 的英文翻譯（页面存档备份，存于互联网档案馆）載於 Soviet Mathematics - Doklady, 3:1259–1263, 1962.

wikipedia.org

en.wikipedia.org

Brousseau, A. Fibonacci Statistics in Conifers. Fibonacci Quarterly（英语：Fibonacci Quarterly）. 1969, (7): 525–32.
Adelson-Velsky, Georgy; Landis, Evgenii. An algorithm for the organization of information. Proceedings of the USSR Academy of Sciences（英语：Proceedings of the USSR Academy of Sciences）. 1962, 146: 263–266 （俄语）. Myron J. Ricci 的英文翻譯（页面存档备份，存于互联网档案馆）載於 Soviet Mathematics - Doklady, 3:1259–1263, 1962.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. (编). Fibonacci Prime. at MathWorld--A Wolfram Web Resource. Wolfram Research, Inc. （英语）.

worldcat.org

Douady, S; Couder, Y. Phyllotaxis as a Dynamical Self Organizing Process (PDF). Journal of Theoretical Biology. 1996, 178 (3): 255–74. ISSN 0022-5193. doi:10.1006/jtbi.1996.0026. （原始内容 (PDF)存档于2006-05-26）.
Luca, Florian. Perfect Fibonacci and Lucas numbers. Rendiconti del Circolo Matematico di Palermo. 2000, 49 (2): 313–18. ISSN 1973-4409. MR 1765401. S2CID 121789033. doi:10.1007/BF02904236.
Luca, Florian; Mejía Huguet, V. Janitzio. On Perfect numbers which are ratios of two Fibonacci numbers. Annales Mathematicae at Informaticae. 2010, 37: 107–24. ISSN 1787-6117. MR 2753031.

zhjwpku.com

Adelson-Velsky, Georgy; Landis, Evgenii. An algorithm for the organization of information. Proceedings of the USSR Academy of Sciences（英语：Proceedings of the USSR Academy of Sciences）. 1962, 146: 263–266 （俄语）. Myron J. Ricci 的英文翻譯（页面存档备份，存于互联网档案馆）載於 Soviet Mathematics - Doklady, 3:1259–1263, 1962.