Papers of R. A. Sulanke

- A Generalized q-multinomial Vandermonde Convolution.
*Journal of Combinatorial Theory,*(A) 31, 33-42 (1981). - q-counting n-dimensional Lattice Paths.
*Journal of Combinatorial Theory*, (A) 33, 135-146 (1982). - A Recurrence Restricted by a Diagonal Condition.
*Fibonacci Quart. J.*, 27, 33 -46 (1989). - A Determinant for q-counting n-dimensional Lattice Paths,
*Discrete Math*, 81, 91-96 (1990). - A Symmetric Variation of Distribution of Kreweras and Poupard,
*Journal of Statistical Planning and Inference*, 34 (1993) 291-303 - Refinements of the Narayana Numbers,
*Bulletin of the Institute of Combinatorics and its Applications*, 7 (1993) 60-66. - With C. Krattenthaler, Counting Pairs of Nonintersecting Lattice
Paths
with respect to Weighted Turns,
*Discrete Math*, 153 (1996) 189-198. - Catalan Path Statistics Having the Narayana Distribution,
*Discrete Math*, 180 (1998) 369-389. - Bijective Recurrences concerning Schroeder Paths,
*Electronic Journal of Combinatorics*, Vol. 5(1), (1998) - with E. Pergola, Schroeder Triangles, Paths, and
Parallelogram
Polyominoes,
*Journal of Integer Sequences*, Vol. 1,. Art.98.1.7 (1998) - Three Recurrences for Parallelogram Polyominoes,
*Journal of Difference Equations and its Applications*, 5 (1999) 155-176 - Constraint-sensitive Catalan Path Statistics Having the
Narayana Distribution,
*Discrete Mathematics*, 204 (1999) 397-414. - Moments of generalized Motzkin paths,
*The Journal of Integer Sequences*Vol. 3 (2000), Article 00.1.1 - Counting Lattice Paths by Narayana Polynomials,
*Electronic Journal of Combinatorics*, Vol. 7(1), R40, 2000 - with L. Shapiro, Bijections for the Schröder
numbers,
*Mathematics Mag.*, 73 (2000), no. 5, 369-376. - Bijective recurrences for Motzkin paths. Special issue in honor of
Dominique Foata's 65th birthday.
*Advances in Applied Mathematics*27 (2001), no. 2-3, 627-640. - with E. Pergola, R. Pinzani, and S. Rinaldi,
A bijective approach to
the area of generalized Motzkin paths.
Special issue in memory of Rodica Simion.
*Adv. in Appl. Math.*28 (2002), no. 3-4, 580-591. - The Narayana distribution.
Special issue on lattice path combinatorics and applications (Vienna, 1998).
*J. Statist. Plann. Inference*101 (2002), no. 1-2, 311-326. - with E. Pergola, R. Pinzani,
and S. Rinaldi, Lattice Path Moments by Cut and Paste.
Formal power series and algebraic combinatorics (Scottsdale, AZ, 2001). Adv. in Appl. Math. 30 (2003), no. 1-2, 208-218.
- Objects counted by the central Delannoy numbers. J. Integer Seq. 6
(2003), no. 1, Art. 03.1.5, 19 pp.
- Moments, Narayana Numbers, and the Cut and Paste for Lattice Paths,
Special issue on lattice path combinatorics and applications (Athens, 2002). To appear in 2004?
*J. Statist. Plann. Inference* - with E. Duchi,
The factor for multi-dimensional lattice paths with diagonal steps,
*Seminaire Lotharingien de Combinatoire,*Art. B51c, 2003. - Three Dimensional Narayana and Schröder Numbers,
(2003), to appear in
*J. Theor. Comp. Sci.* - Generalizing Narayana and Schröder Numbers to Higher Dimensions,
*Electronic J. of Combinatorics*, Art. R54, vol. 11(1), 2004

**Unrefereed**

- Problem 10893, Am. Math. Monthly, Oct. 2001,
p. 770: Solution 10894, Am. Math. Monthly, No. 5, May 2003,
p. 443-444.

**Works in progress**

- A lemma of Kaplansky and
counting placements of non-attacking king-rooks,
1993, in progress,
reprint available.
- A q-analogue of Touchard's identity for the
Catalan Numbers,
1994, reprint available.
- A proof about words without words: Counting
parallelogram
polyominoes with respect to wide rows, 1996,
available via
`http://math.boisestate.edu/faculty/sulanke.html` - Guessing, Ballot Numbers, and Refining Pascal's
Triangle,
1996, available via
`http://math.boisestate.edu/faculty/sulanke.html`(See A simple card guessing game revisited, A. Knopfmacher and H. Prodinger, Electronic Journal of Combinatorics, 8(2) 2001, paper R13 (9 pages).)