: a third proof of its closed form (with Peter J. Larcombe), Util. Math. 80 (2009), 59–63.
pdf file.
A simple proof of Andrews's 5F4 evaluation, preprint, 2013.
pdf file.
Compositions and Fibonacci identities (with Ji Li), preprint, 2013.
pdf file.
Jacobi-Stirling polynomials and P-partitions (with Zhicong Lin and Jiang Zeng), European J. Combin. 33 (2012), 1987–2000.
pdf file.
A bijection between words and multisets of necklaces (with A. Restivo and C. Reutenauer), European J. Combin. 33 (2012), 1537–1546.
pdf file.
Enumeration of point-determining graphs (with Ji Li),
J. Combinatorial Theory Ser. A 118 (2011), 591–612.
pdf file.
The limit as p -> infinity of the Hilbert-Kunz multiplicity of sum(x_i^(d_i))i (with Paul Monsky), arXiv:1007.2004, 2010.
A note on 2-distant noncrossing partitions and weighted Motzkin paths (with Jang Soo Kim), Discrete Math., 310 (2010), 3421–3425.
pdf file.
Symmetrically constrained compositions (with Matthias Beck, Sunyoung Lee, and Carla D. Savage), Ramanujan Journal 23 (2010), 355–369.
pdf file.
Note on enumeration of partitions contained in a given shape (with Nicholas Loehr), Linear Algebra Appl. 432 (2010), 583–585.
pdf file.
Multilinear generating functions for Charlier
polynomials (with Pallavi Jayawant), J. Statist. Inf. Plann.
140 (2010), 2230–2236.
pdf file.
The sum : a third proof of its closed form (with Peter J. Larcombe), Util. Math. 80 (2009), 59–63.
pdf file.
A major statistic for matchings and partitions (with
William Y. C. Chen, Arthur L.B. Yang, and
Catherine H. Yan), J. Combin. Theory Ser. A, 115 (2008), 1069–1076.
pdf file.
A unified elementary approach to the Dyson, Morris, Aomoto, and Forrester constant term identities (with Lun Lv, Guoce Xin, and Yue Zhou), J. Combin. Theory Ser. A, 115 (2008), 1417–1435.
pdf file.
The joint distribution of descent and major index over
restricted sets of permutations (with Sylvie D. Corteel, Carla Savage, and Herbert S. Wilf),
Annals of Combinatorics 11 (2007), 375–386.
pdf file
Three proofs and a generalization of the Goulden-Litsyn-Shevelev conjecture on a sequence arising in algebraic geometry (with Brian Drake and Guoce Xin), J. Integer Seq. 10 (2007), Article 07.3.7.
Link to JIS
On the descent numbers and major indices for the hyperoctahedral group (with Chak-On Chow), Adv. in Appl. Math. 38 (2007), 275–301.
pdf file
A refinement of Cayley's formula for trees (with Seunghyun Seo),
Electronic J. Combinatorics 11, no. 2 (2004–2006), R27.
Link to E-JC
A short proof of the Zeilberger-Bressoud q-Dyson theorem (with Guoce Xin),
Proc. Amer. Math. Soc. 134 (2006), 2179–2187.
pdf file
The generating function of ternary trees and continued fractions
(with Guoce Xin), Electronic J. Combinatorics 13, no. 1 (2006), R53.
Link to E-JC
Symmetric inclusion-exclusion, Séminaire Lotharingien de Combinatorie 54 (2005), B54b.
Link to SLC
A combinatorial interpretation of the numbers 6(2n)! /n! (n+2)! (with Guoce Xin),
J. Integer Seq. 8 (2005), no. 2, Article 05.2.3,
13 pp.
Link to JIS
A triple lacunary generating function for Hermite polynomials (with Pallavi Jayawant), Electronic Journal of Combinatorics 12 (2005), Research Paper 30, 14 pp.
Link to E-JC
Hypergraphs and a functional equation of Bouwkamp and de Bruijn
(with Louis H. Kalikow)
J. Combinatorial Theory, Ser. A 110 (2005), 275–289.
pdf file
On Miki's identity for Bernoulli numbers,
J. Number Theory, 110 (2005), 75–82.
pdf file
Signed Mahonians (with Ron M. Adin and Yuval Roichman),
J. Combin. Theory Ser. A 109 (2005), 25–43.
pdf file
Slides from a talk on Rational functions with nonnegative power series coefficients, 50th Seminaire Lotharingien de Combinatoire, March 25, 2003.
pdf file
Applications of the classical umbral
calculus
Algebra Universalis 49 (2003), 397–434.
dvi file
pdf file
The polynomial part of a restricted partition function
related to the Frobenius problem
(with Matthias Beck and Takao Komatsu)
Electronic J. Combinatorics
8 (2001), No. 1, N7 (5 pages).
dvi file
pdf file
Link to E-JC
The specification of 2-trees
(with Tom Fowler, Gilbert Labelle, and Pierre Leroux),
Advances in Applied Math. 28 (2002), 145–168.
pdf file
gzipped postscript file
Acyclic orientations and chromatic generating functions,
Discrete Math. 232 (2001), 119–130.
dvi file
pdf file
gzipped postscript file
On the order of Stirling numbers and
alternating binomial coefficient sums
(with Tamas Lengyel), Fibonacci Quarterly,
39 (2001), 444–454.
pdf file
The Smith College diploma problem,
Amer. Math. Monthly 108 (2001), 55–57.
dvi file
pdf file
gzipped postscript file
On the number of convex polyominoes,
Annales des Sciences Mathemathiques
du Quebec, 24 (2000), 63–66.
dvi file
pdf file
gzipped postscript file
Tilings of diamonds and hexagons with defects
(with Harald Helfgott),Electronic J. Combinatorics 6, No. 1
(1999), R16 (21 pages).
gzipped postscript file
pdf file
Wolstenholme revisited
Amer. Math. Monthly 105 (1998), 657–658.
pdf file
Lattice walks in Zd and permutations with no long
ascending subsequences (with Jonathan Weinstein and Herbert S. Wilf),
Electronic J. Combinatorics 5, No. 1 (1998), R2 (11 pages).
Link to EJC
Lattice paths and Faber polynomials (with Sangwook Ree),
in
Advances in Combinatorial Methods and Applications to
Probability and Statistics, ed. N. Balakrishnan, Birkhauser Boston, 1997,
pp. 3–13.
dvi file
pdf file
AMSTeX file
Cylindric partitions (with C. Krattenthaler), Trans. Amer. Math.
Soc. 349 (1997), 429–479.
Link to TAMS
Generating functions and generalized Dedekind sums,
Electronic J. Combinatorics 4, No. 2, Wilf Festschrift
(1997), R11 (17 pages).
Link to EJC
Even and odd pairs of lattice paths with multiple intersections
(with Walter Shur), J. Combin. Theory Ser. A 75 (1996),
243–253.
gzipped postscript file
pdf file
Counting pairs of lattice paths by intersections
(with Wayne Goddard, Walter Shur, Herbert S. Wilf, and Lily Yen), J. Combin. Theory Ser. A
74 (1996), 173–187.
gzipped postscript file
The Tutte polynomial of a graph, depth-first search, and simplicial complex partitions
(with Bruce Sagan), Electronic J. Combinatorics
3, No. 2, Foata Festschrift (1996), R9 (36 pages).
Link to EJC
Counting forests by descents and leaves, Electronic J. Combinatorics
3, No. 2, Foata Festschrift (1996), R8 (5 pages).
Link to EJC
Counting acyclic digraphs by sources and sinks,
Discrete Math. 160 (1996), 253–258.
pdf file
AMSTeX file
Enumerative applications of a decomposition for graphs and
digraphs,
Discrete Math.
139 (1995), 257–271.
pdf file
Lagrange inversion for species, (with G. Labelle),
J. Combin. Theory Ser. A 72 (1995), 95–117.
pdf file
Algebraic enumeration (with R. P. Stanley), in
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Combinatorics ed. R. L. Graham, M. Grotschel, and L. Lovasz,
Elsevier and MIT Press, 1995, pp. 1021–1062.
pdf file
Finding identities with the WZ method.,
J. Symbolic
Comput. 20 (1995), 537–566.
pdf file
Counting paths in Young's lattice,
J. Statistical Planning and
Inference 34 (1993), 125–134.
pdf file
dvi file
Super ballot numbers,
J. Symbolic Computation 14 (1992),
179–194.
pdf file
dvi file
gzipped postscript file
A coloring problem,
Amer. Math. Monthly 98 (1991),
530–533.
pdf file
Symmetric functions and P-recursiveness,
J. Combin. Theory Ser. A 53
(1990), 257–285.
pdf file
Generalized rook polynomials and orthogonal polynomials, in
q-Series and Partitions, ed. D. Stanton, The IMA Volumes in
Mathematics and Its Applications, Vol. 18, Springer-Verlag, New York, 1989,
pp. 159–176.
pdf file
Determinants, paths, and plane partitions
(with X. G. Viennot), preprint, 1989
pdf file
dvi file
Enumerative applications of symmetric functions,
Séminaire Lotharingien de Combinatoire B17a (1987), 17 pp.
Link to SLC
Counting three-line Latin rectangles, in
Combinatoire
énumerative, ed. G. Labelle and P. Leroux, Lecture Notes in
Mathematics, Vol. 1234, Springer-Verlag, 1986, pp. 106–111.
pdf file
A probabilistic method for lattice path enumeration,
J. Statist. Plann. Inference 14
(1986), 49–58.
pdf file
Multipartite P-partitions and inner products of skew Schur functions,
Contemp. Math. 34
(1984), 289–301.
pdf file
Some congruences for generalized Euler numbers,
Canad. J. Math. 35 (1983), 687–709.
pdf file
Permutation statistics and partitions (with A. M. Garsia),
Adv. in Math. 31
(1979), 288–305.
pdf file
Generating Functions and Enumeration of Sequences,
Ph.D. Thesis, Massachusetts Institute of Technology, 1977.
pdf file