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# CiteE

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**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

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- Tohru Eguchi, Kazuhiro Hikami, Superconformal Algebras and Mock Theta Functions (2008) arXiv:0812.1151
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- R. Ehrenborg, S. Kitaev, E. Steingrimsson, Number of cycles in the graph of 312-avoiding permutations, arXiv preprint arXiv:1310.1520, 2013
- D. Ehrmann, Z. Higgins, V. Nitica, The Geometric Structure of Max-Plus Hemispaces, arXiv preprint arXiv:1402.2857, 2014
- Omer I. Eid, Ramanujan-Nagell Equation: A Simple Solution, Journal of American Science, 2015;11(7), http://www.jofamericanscience.org
- S. Eilers, The LEGO counting problem, Amer. Math. Mnthly, 123 (May 2016), 415-426.
- C Elsholtz, G Harman, On Conjectures of T. Ordowski and ZW Sun Concerning Primes and Quadratic Forms, in C. Pomerance and M. T. Rassias, eds., Anaytic Number Theory, Springer 2015, pp. 65-81.
- Eising, Jaap, David Radcliffe, and Jaap Top. "A Simple Answer to Gelfand’s Question." The American Mathematical Monthly 122.03 (2015): 234-245.
- R. Eisinga, R. Breitling and T. Heskes, The exact probability distribution of the rank product statistics for replicated experiments, FEBS Letters, 2013, 587: 677-682, doi:10.1016/j.febslet.2013.01.037
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- Shalosh B. Ekhad, Nathaniel Shar, and Doron Zeilberger, The number of 1...d-avoiding permutations of length d+r for SYMBOLIC d but numeric r, arXiv:1504.02513, 2015.
- Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, A Meta-Algorithm for Creating Fast Algorithms for Counting ON Cells in Odd-Rule Cellular Automata, arXiv:1503.01796, 2015.
- Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, Odd-Rule Cellular Automata on the Square Grid, arXiv:1503.043249, 2015.
- Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, Automated Proof (or Disproof) of Linear Recurrences Satisfied by Pisot Sequences, arXiv:1609.05570, 2016.
- Shalosh B. EKHAD and Mingjia YANG, Automated Proofs of Many Conjectured Recurrences in the OEIS made by R.J. Mathar, HTML, July, 2017, arXiv:1707.04654
- S. B. Ekhad and D. Zeilberger, Proof of Conway's Lost Cosmological Theorem, Electronic Research Announcements of the Amer. Math. Soc. 3 (1997) 78-82.
- Shalosh B. Ekhad and Doron Zeilberger, "There are More Than 2n/17 n-Letter Ternary Square-Free Words", J. Integer Sequences, Volume 1, 1998, Article 98.1.9.
- Shalosh B. EKHAD and Doron ZEILBERGER, Automatic Solution of Richard Stanley's Amer. Math. Monthly Problem #11610 and ANY Problem of That Type, Arxiv preprint arXiv:1112.6207, 2011
- S. B. Ekhad and D. Zeilberger, Computational and Theoretical Challenges on Counting Solid Standard Young Tableaux, Arxiv preprint arXiv:1202.6229, 2012
- Shalosh B. EKHAD and Doron ZEILBERGER, Automatic Counting of Tilings of Skinny Plane Regions, Arxiv preprint arXiv:1206.4864, 2012
- Shalosh B. Ekhad, Doron Zeilberger, How to generate as many Somos-like miracles as you wish, arXiv:1303.5306
- Shalosh B. Ekhad and Doron Zeilberger, Automatic Proofs of Asymptotic Abnormality (and much more!) of Natural Statistics Defined on Catalan-Counted Combinatorial Families, arXiv:1403.5664, 2014.
- Shalosh B. Ekhad and Doron Zeilberger, Enumerative Geometrical Genealogy (Or: The Sex Life of Points and Lines), arXiv:1406.5157, 2014.
- Shalosh B. Ekhad, Doron Zeilberger, There are (1/30)(r+1)(r+2)(2r+3)(r^2+3r+5) Ways For the Four Teams of a World Cup Group to Each Have r Goals For and r Goals Against [Thanks to the Soccer Analog of Prop. 4.6.19 of Richard Stanley's (Classic!) EC1], arXiv:1407.1919, 2014.
- Shalosh B. EKHAD and Doron ZEILBERGER, The Generating Functions Enumerating 12...d-Avoiding Words with r occurrences of each of 1 , . . . , n are D-finite for all d and all r, http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimPDF/sloane75.pdf, 2014; also arXiv preprint arXiv:1412.2035, 2014
- S. B. Ekhad, D. Zeilberger, The Method(!) of GUESS and CHECK, arXiv preprint arXiv:1502.04377, 2015
- SB Ekhad, D Zeilberger, Explicit Expressions for the Variance and Higher Moments of the Size of a Simultaneous Core Partition and its Limiting Distribution, arXiv preprint arXiv:1508.07637, 2015
- SB Ekhad, D Zeilberger, Computerizing the Andrews-Fraenkel-Sellers Proofs on the Number of m-ary partitions mod m (and doing MUCH more!), arXiv preprint arXiv:1511.06791, 2015
- SB Ekhad, D Zeilberger, On the number of Singular Vector Tuples of Hyper-Cubical Tensors, arXiv preprint arXiv:1605.00172, 2016
- Shalosh B. Ekhad, Doron Zeilberger, Going Back to Neil Sloane's FIRST LOVE (OEIS Sequence A435): On the Total Heights in Rooted Labeled Trees, arXiv preprint arXiv:1607.05776, 2016
- el Houcein el Abdalaoui, Mohamed Dahmoune and Djelloul Ziadi, On the transition reduction problem for finite automata, arXiv preprint arXiv:1301.3751, 2013
- Mohamed El Bachraoui and Florian Luca, On a Diophantine equation of Ayad and Kihel, Quaestiones Mathematicae, Volume 35, Issue 2, pages 235-243, 2012; doi:10.2989/16073606.2012.697265
- Miriam Mahannah El-Farrah, Expectation Numbers of Cyclic Groups, MS Thesis, Western Kentucky University, August 2015; http://digitalcommons.wku.edu/cgi/viewcontent.cgi?article=2520&context=theses
- Murray Elder, Cogrowth, http://carma.newcastle.edu.au/pdf/retreat2011/posters/MurrayElder-poster-A0.pdf.
- M. Elder, A. Kalka, Logspace computations for Garside groups of spindle type, arXiv preprint arXiv:1310.0933, 2013
- M. Elder, A. Rechnitzer, E. J. van Rensburg, T. Wong, The cogrowth series for BS(N, N) is D-finite, arXiv preprint arXiv:1309.4184, 2013
- M. Elhamdadi, Distributivity in Quandles and Quasigroups, arXiv preprint arXiv:1209.6518, 2012
- Elhamdadi, Mohamed; Macquarrie, Jennifer; Restrepo, Ricardo Automorphism groups of quandles. J. Algebra Appl. 11 (2012), no. 1, 1250008, 9 pp.
- Michele Elia, F Pintore, On the Representation of Primes by Binary Quadratic Forms, and Elliptic Curves, arXiv preprint arXiv:1604.06586, 2016
- S. Eliahou and M. J. Erickson, Mutually describing multisets and integer partitions, Discrete Mathematics, Volume 313, Issue 4, 28 February 2013, Pages 422-433.
- B. Elias, N. Proudfoot, M. Wakefield, The Kazhdan-Lusztig polynomial of a matroid, http://pages.uoregon.edu/njp/kl.pdf, 2014
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- Sergi Elizalde and Toufik Mansour, Restricted Motzkin permutations, Motzkin paths, continued fractions and Chebyshev polynomials (2006), arXiv:math/0610237.
- A. Elizarov, A. Kirillovich, E. Lipachev, O. Nevzorova, et al., Mathematical Knowledge Representation: Semantic Models and Formalisms, arXiv preprint arXiv:1408.6806
- Seymour B. Elk, Enumeration of the set of saturated compounds that, in theory, could be formed by the linear fusion of regular pentagonal modules, including the logical extrapolation to helicanes, Journal of Molecular Structure: THEOCHEM, Volume 201, November 1989, Pages 75-86.
- Elkies, Noam D. New directions in enumerative chess problems. Electron. J. Combin. 11 (2004/06), no. 2, Article 4, 14 pp.
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- David Ellerman, The number of direct-sum decompositions of a finite vector space, arXiv preprint arXiv:1603.07619, 2016
- David Ellerman, The Quantum Logic of Direct-Sum Decompositions, arXiv preprint arXiv:1604.01087, 2016
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- C. Elsholtz, C. Heuberger, H. Prodinger, The number of Huffman codes, compact trees, and sums of unit fractions, arXiv:1108.5964
- Carsten Elsner, Dominic Klyve and Erik R. Tou, A zeta function for juggling sequences, Journal of Combinatorics and Number Theory, Volume 4, Issue 1, 2012, pp. 1-13; ISSN 1942-5600
- Andrew Elvey-Price and Anthony J. Guttmann, Permutations sortable by deques and by two stacks in parallel, arXiv:1508.02273 2015.
- Cees H. Elzinga, M. Studer, Normalization of Distance and Similarity in Sequence Analysis in G. Ritschard & M. Studer (eds), Proceedings of the International Conference on Sequence Analysis and Related Methods, Lausanne, June 8-10, 2016, pp 445-468.
- Nathaniel D. Emerson, "A Family of Meta-Fibonacci Sequences Defined by Variable-Order Recursions", J. Integer Sequences, Volume 9, 2006, Article 06.1.8.
- James Emery, Number Theory, 2013; http://www.stem2.org/je/numbertheory.pdf
- Emmons, Caleb; Krebs, Mike; Shaheen, Anthony K-quasiderivations. Cent. Eur. J. Math. 10 (2012), no. 2, 824-834.
- Melissa Emory, The Diophantine equation X^4 + Y^4 = D^2 Z^4 in quadratic fields, INTEGERS 12 (2012), #A65.
- J. Endrullis, D. Hendriks and J. W. Klop. Degrees of streams, http://www.cs.vu.nl/~diem/publication/pdf/degrees.pdf
- Matthew England, James H Davenport, The complexity of cylindrical algebraic decomposition with respect to polynomial degree, arXiv preprint arXiv:1605.02494, 2016
- S. Engstrom, Random acyclic orientations of graphs, Master's thesis written at the department of Mathematics at the Royal Institute of Technology (KTH) in Stockholm, Jan. 2013; http://www.sci.kth.se/polopoly_fs/1.364961!/Menu/general/column-content/attachment/final_3_Random%20orientations.pdf.
- Enkosky, Thomas Counting points of slope varieties over finite fields. Electron. J. Combin. 18 (2011), no. 1, Paper 3, 11 pp.
- T. Enkosky, B. Stone, Sequences defined by h-vectors, arXiv preprint arXiv:1308.4945, 2013
- Peter L. Erdos, I Miklós, Z Toroczkai, New classes of degree sequences with fast mixing swap Markov chain sampling, arXiv preprint arXiv:1601.08224, 2016
- Gennady Eremin, Factoring a Catalan Number into Chebyshev's Segments, 2016; http://eremin.magekit.com/catalan-cheb-2016-en.pdf
- LARRY ERICKSEN AND PETER G. ANDERSON, PATTERNS IN DIFFERENCES BETWEEN ROWS IN k-ZECKENDORF ARRAYS, http://www.cs.rit.edu/~pga/k-zeck.pdf, 2012
- L. Ericksen, Iterated digit sums, recursions and primality, Acta Math. Univ. Ostrav. 14 (2006) 27-35
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- A. Erickson and F, Ruskey, Enumerating maximal tatami mat coverings of square grids with v vertical dominoes, arXiv preprint arXiv:1304.0070, 2013
- Alejandro Erickson and Mark Schurch, Monomer-dimer tatami tilings of square regions, Arxiv preprint arXiv:1110.5103, 2011
- Alejandro Erickson and Mark Schurch, Enumerating tatami mat arrangements of square grids, in 22nd International Workshop on Combinatorial Algorithms, University of Victoria, June 20-22, volume 7056 of Lecture Notes in Computer Science (LNCS), Springer Berlin / Heidelberg, 2011, pp. 223-235, doi:10.1007/978-3-642-25011-8_18
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- H. Eriksson, A. Martin, Enumeration of Carlitz multipermutations, arXiv:1702.04177 (2017)
- Mutiu F. Erinosho, ET Akinlabi, S Pityana, Effect of scanning speed and powder flow rate on the evolving properties of laser metal deposited Ti-6Al-4V/Cu composites, International Journal of Surface Science and Engineering, Volume 10, Issue 3, 2016; doi:10.1504/IJSURFSE.2016.076993
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- E. Estrada and J. A. de la Pena, From Integer Sequences to Block Designs via Counting Walks in Graphs, arXiv preprint arXiv:1302.1176, 2013
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- Sen-Peng Eu, Tung-Shan Fu, Lattice paths and generalized cluster complexes, Journal of Combinatorial Theory, Series A, Volume 115, Issue 7, October 2008, Pages 1183-1210.
- Sen-Peng Eu, Tung-Shan Fu, Yu-Chang Liang, Tsai-Lien Wong, On xD-Generalizations of Stirling Numbers and Lah Numbers via Graphs and Rooks, Electronic Journal of Combinatorics 24(2) (2017), #P2.9
- Sen-Peng Eu, Tung-Shan Fu and Yeh-Jong Pan, A combinatorial proof of the cyclic sieving phenomenon for faces of Coxeterhedra, Journal of Combinatorial Optimization, 2012.
- Eu, Sen-Peng; Liu, Shu-Chung; Yeh, Yeong-Nan, Dyck paths with peaks avoiding or restricted to a given set. Stud. Appl. Math. 111 (2003), no. 4, 453-465.
- Eu, Sen-Peng; Liu, Shu-Chung; Yeh, Yeong-Nan, Odd or even on plane trees. Discrete Math. 281 (2004), no. 1-3, 189-196.
- Eu, Sen-Peng; Liu, Shu-Chung; Yeh, Yeong-Nan, On the congruences of some combinatorial numbers. Stud. Appl. Math. 116 (2006), no. 2, 135-144.
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- Reinhardt Euler, "The Fibonacci Number of a Grid Graph and a New Class of Integer Sequences", J. Integer Sequences, Volume 8, 2005, Article 05.2.6.
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## 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.
- But if you add anything to these pages, please be very careful — remember that this is a scientific database. Spell authors' names, titles of papers, journal names, volume and page numbers, etc., carefully, and preserve the alphabetical ordering.
- If you are unclear about what to do, contact one of the Editors-in-Chief before proceeding.
- 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.
- 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**.