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"... every recreational mathematician should buy a copy forthwith." [Martin Gardner, 1974, referring to the Handbook of Integer Sequences]

The talk by Timothy Gowers (2016) mentions the OEIS as a great tool for research, including the fact that he and a collaborator, very recently, were led to a surprising connection.

"On comparing the sequence of cardinalities of these sets with a prepublication version of N. J. A. Sloane's handy table [7], we learned what we should have guessed, that anything which nests is often associated with trees....." [R. K. Guy and J. L. Selfridge, 1973]

About this page

  • This is part of the series of OEIS Wiki pages that list works citing the OEIS.
  • Additions to these pages are welcomed.
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  • Works are arranged in alphabetical order by author's last name.
  • Works with the same set of authors are arranged by date, starting with the oldest.
  • This section lists works in which the first author's name begins with G.
  • The full list of sections is: A Ba Bi Ca Ci D E F G H I J K L M N O P Q R Sa Sl T U V W X Y Z.
  • For further information, see the main page for Works Citing OEIS.

References

  1. Elisabeth Gaar, Daniel Krenn, Metamour-regular Polyamorous Relationships and Graphs, arXiv:2005.14121 [math.CO], 2020. (A000041, A008483, A334275)
  2. Daniel Gabric, Štěpán Holub, Jeffrey Shallit, Generalized de Bruijn words and the state complexity of conjugate sets, arXiv:1903.05442 [cs.FL], 2019. (A316936, A317586)
  3. Daniel Gabric and Joe Sawada, A de Bruijn Sequence Construction by Concatenating Cycles of the Complemented Cycling Register, In: Brlek S., Dolce F., Reutenauer C., Vandomme É. (eds) Combinatorics on Words, WORDS 2017, Lecture Notes in Computer Science, vol 10432. doi:10.1007/978-3-319-66396-8_6
  4. Daniel Gabric, Joe Sawada, Investigating the discrepancy property of de Bruijn sequences, University of Guelph (Canada, 2020). PDF (A008811)
  5. Daniel Gabric, Jeffrey Shallit, Borders, Palindrome Prefixes, and Square Prefixes, arXiv:1906.03689 [cs.DM], 2019. (A003000, A003558, A121880, A122536, A216958, A252696, A308528)
  6. Daniel Gabric and Jeffrey Shallit, Smallest and Largest Block Palindrome Factorizations, arXiv:2302.13147 [math.CO], 2023. (A274199, A334600)
  7. Gabriel, Nathan; Peske, Katherine; Pudwell, Lara; Tay, Samuel, Pattern avoidance in ternary trees. J. Integer Seq. 15 (2012), no. 1, Article 12.1.5, 20 pp.
  8. Steve Gadbois, 104.12 From calendar coincidence to factorials to Ramanujan, The Mathematical Gazette (2020) Vol. 104, Issue 560, 304-306. doi:10.1017/mag.2020.54 (A010790)
  9. Bernd Gaertner, Walter D. Jr. Morris and Leo Ruest, Unique Sink Orientations of Grids, Algorithmica, Volume 51, Number 2 / June, 2008.
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  11. Abdul Gaffar, Anand B. Joshi, Sonali Singh, and Keerti Srivastava, A high capacity multi-image steganography technique based on golden ratio and non-subsampled contourlet transform, Multimedia Tools and Applications (2022). doi:10.1007/s11042-022-12246-y (A001622)
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  32. P. Gambette, V. Berry, C. Paul, The structure of level-k phylogenetic networks, LNCS 5577 (2009) 289-300 doi:10.1007/978-3-642-02441-2_26
  33. Alessandro Gambini, Giorgio Nicoletti, and Daniele Ritelli, The Wallis Products for Fermat Curves, Vietnam J. Math. (2023). doi:10.1007/s10013-023-00617-3 (A104133, A104134, A153300, A153301)
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  35. Li Gan, On the algebraic area of cubic lattice walks, arXiv:2307.08732 [math-ph], 2023. (A002896)
  36. Li Gan, Stéphane Ouvry, and Alexios P. Polychronakos, Algebraic area enumeration of random walks on the honeycomb lattice, arXiv:2107.10851 [math-ph], 2021. (A135711)
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  38. Francesca Gandini, Shubhra Mishra, and Douglas Shaw, Families of Harris Graphs, arXiv:2312.10936 [math.CO], 2023. (A366315)
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  40. Karthik Ganesan, Alexander Hu, Subhasish Mitra, H.-S. Philip Wong, Simon Wong, Tony F. Wu, TPAD: Hardware Trojan Prevention and Detection for Trusted Integrated Circuits, preprint arXiv:1505.02211, 2015. (A011260)
  41. Abdul Hamid Ganie, Engin Ŏzkan, Mine Uysal, and Afroza Akhter, On New Polynomial Sequences Constructed to Each Vertex in an n-Gon, Discrete Dynamics in Nature and Society (2022) Vol. 2022, Art. ID 2910678. doi:10.1155/2022/2910678 (A033999, A084633)
  42. Mohammad GANJTABESH, Armin MORABBI and Jean-Marc STEYAERT, Enumerating the number of RNA structures
  43. Bernhard Ganter, Notes on Integer Partitions, Technische Universität Dresden (2020). PDF (A000041)
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  46. Alice L. L. Gao, Sergey Kitaev, On partially ordered patterns of length 4 and 5 in permutations, arXiv:1903.08946 [math.CO], 2019. (A000984, A002605, A006012, A006318, A007531, A025192, A033321, A045925, A048495, A049124, A052544, A053617, A054872, A057711, A077835, A084509, A094012, A094433, A103505, A106228, A111277, A111279, A111281, A111282, A118376, A128088, A129952, A165546, A204200, A212198, A214663, A216879, A224295, A228907, A232164, A257561, A271897, A276838)
  47. Alice L. L. Gao, S Kitaev, PB Zhang, On pattern avoiding indecomposable permutations, arXiv preprint arXiv:1605.05490, 2016.
  48. Alice L. L. Gao, Sergey Kitaev, Philip B. Zhang, Pattern-avoiding alternating words, preprint, 2015. (A000045, A006356, A006357, A006358, A006359) doi:10.1016/j.dam.2016.03.007
  49. Emily X. L. Gao and Brian Y. Sun, Enumeration of Type D Permutations with Alternating Runs, Preprint 2017.
  50. Jiejie Gao, Some New Identities for Arctangents and Chebyshev Polynomials, J. Int. Seq., Vol. 26 (2023), Article 23.1.3. HTML (A000032, A000045)
  51. Ling Gao, Graph assembly for spider and tadpole graphs, Master's Thesis, Cal. State Poly. Univ. (2023). Abstract (A000108 p. 12, A000782, A000894 p. 36, A004171, A009766 p. 12, A071721 p. 32, A144505 pp. 42, 63) By entering this sequence into OEIS, we may be able to fnd a closed-form formula that expresses the number of assembly trees for cycle graphs. p. 56.
  52. M. Gao and J. Wu, Homology Decompositions of the Loops on 1-Stunted Borel Constructions of C_2-Actions, arXiv preprint arXiv:1301.0864, 2013
  53. Gao, Man; Tan, Colin; Wu, Jie doi:10.1016/j.topol.2016.06.015 Loop homological invariants associated to real projective spaces. Topology Appl. 209, 275-288 (2016).
  54. Gao, Shanzhen, and Matheis, Kenneth, Closed formulas and integer sequences arising from the enumeration of (0,1)-matrices with row sum two and some constant column sums. In Proceedings of the Forty-First Southeastern International Conference on Combinatorics, Graph Theory and Computing. Congr. Numer. 202 (2010), 45-53.
  55. Shanzhen Gao and Heinrich Niederhausen, Sequences Arising From Prudent Self-Avoiding Walks, Preprint, 2010.
  56. Si Gao, H Chen, W Wu, L Fan, W Cao, X Ma, My traces learn what you did in the dark: recovering secret signals without key guesses, Preprint, 2016, https://eprint.iacr.org/2016/1082.pdf
  57. Xiangrui Gao, Song He, Yong Zhang, Labelled tree graphs, Feynman diagrams and disk integrals, arXiv:1708.08701 [hep-th], 2017.
  58. Xing Gao & William F. Keigher, Interlacing of Hurwitz series, Communications in Algebra, 45:5 (2017), 2163-2185, doi:10.1080/00927872.2016.1226885
  59. Yibo Gao, Principal specializations of Schubert polynomials and pattern containment, arXiv:1910.08872 [math.CO], 2019. (A005043)
  60. Gao, Zhicheng; MacFie, Andrew; Panario, Daniel Counting words by number of occurrences of some patterns. Electron. J. Combin. 18 (2011), no. 1, Paper 143, 15 pp.
  61. Zhicheng Gao, Andrew MacFie and Daniel Panario, Counting words by number of occurrences of some patterns, The Electronic Journal of Combinatorics, 18 (2011), #p143; PDF.
  62. S. Garoufalidis and R. Kashaev, From state integrals to q-series, arXiv preprint arXiv:1304.2705, 2013
  63. Jozsef Garai, Analytical Solution Describing the Periodicity of the Elements in the Periodic System (2007), arXiv:physics/0703231.
  64. Alexey Garber, On triangular paperfolding patterns, arXiv:1807.05627 [math.CO], 2018. (A014577)
  65. Ana Cecilia García Lomelí, Santos Hernández Hernández, On the Diophantine equation Pm = Pnx + Pn+1x with Padovan numbers, Boletín de la Sociedad Matemática Mexicana, (2022) Vol. 28, Art. No. 24. doi:10.1007/s40590-022-00420-z
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  67. E. M. García-Caballero, S. G. Moreno, M. P. Prophet, A complete view of Viète-like infinite products with Fibonacci and Lucas numbers, Applied Mathematics and Computation 247 (2014) 703–711.
  68. E. M. García-Caballero, S. G. Moreno, M. P. Prophet, New Viète-like infinite products of nested radicals, Fib. Q., 52 (No. 1, 2014), 27-31.
  69. Mikel Garcia-de-Andoin, Álvaro Saiz, Pedro Pérez-Fernández, Lucas Lamata, Izaskun Oregi, and Mikel Sanz, Digital-Analog Quantum Computation with Arbitrary Two-Body Hamiltonians, arXiv:2307.00966 [quant-ph], 2023. (A002024)
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  71. Ana Cecilia García Lomelí and Santos Hernández Hernández, The Padovan numbers of the form 6a ± 6b ± 6c, Revista Integración, Univ. Santander Mexico, 2023) Vol. 41, No. 2, 1-13. Abstract (A000931)
  72. M. I. García-Planas and D. Roca-Borrego, Cyclic-union Operation to Obtain Latin Squares, British Journal of Mathematics & Computer Science, Vol. 22, Issue. 5, 2017. doi:10.9734/BJMCS/2017/33945
  73. P. A. García-Sánchez, D. Marín-Aragón, A. M. Robles-Pérez, The tree of numerical semigroups with low multiplicity, arXiv:1803.06879 [math.CO], 2018.
  74. Stephan Ramon Garcia, Jeffrey Lagarias, and Ethan Simpson Lee, The error term in the truncated Perron formula for the logarithm of an L-function, arXiv:2206.01391 [math.NT], 2022. (A022011, A022013)
  75. Martin Gardner, Mathematical Games column, Scientific American, July 1974, referring to the Handbook of Integer Sequences, said that “every recreational mathematician should buy a copy forthwith.”
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  122. Fekadu T. Gedefa, Log-Concavity of Centered Polygonal Figurate Number Sequences, Open Access Library Journal, 2016, 3: e2774. doi:10.4236/oalib.1102774
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  124. Katie R. Gedeon, Kazhdan-Lusztig polynomials of thagomizer matroids, arXiv preprint arXiv:1610.05349, 2016 ["The success of this project is due in large part to the On-Line Encyclopedia of Integer Sequences [Slo16] and SageMath [Dev16]."]
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  126. Leonard Martinus Geerdink, Progress in Philosophy, University of Groningen (Netherlands 2019). PDF (A010034)
  127. Thangavelu Geetha, Amritanshu Prasad, Shraddha Srivastava, Schur Algebras for the Alternating Group and Koszul Duality, arXiv:1902.02465 [math.RT], 2019. (A002860)
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  129. Marvin Geiselhart, Ahmed Elkelesh, Moustafa Ebada, Sebastian Cammerer, and Stephan ten Brink, On the Automorphism Group of Polar Codes, arXiv:2101.09679 [cs.IT], 2021. (A048651)
  130. Daniel L. Geisler, Combinatorics of Iterated Functions
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  135. Merve Güney Duman, Perrin numbers as difference of two repdigits, Sakarya Univ. Appl. Sci. (Turkey, 2023). Abstract (A001608, A010785)
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