David Callan

According to our database, David Callan authored at least 56 papers between 2000 and 2025.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of two.

2025

Wilf classes for weak ascent sequences avoiding a pair or triple of length-3 patterns.

David Callan, Toufik Mansour

Discret. Math., 2025

2024

Ascent sequences avoiding a triple of 3-letter patterns and Fibonacci numbers.

David Callan, Toufik Mansour

Art Discret. Appl. Math., 2024

2023

Inversion Sequences Avoiding a Triple of Patterns of 3 Letters.

David Callan, Vít Jelínek, Toufik Mansour

Electron. J. Comb., 2023

2021

Statistics on Bargraphs of Catalan Words.

David Callan, Toufik Mansour, José Luis Ramírez

J. Autom. Lang. Comb., 2021

Permutations avoiding 4321 and 3241 have an algebraic generating function.

David Callan

Discret. Math. Theor. Comput. Sci., 2021

2017

Revitalized Automatic Proofs: Demonstrations.

Tewodros Amdeberhan, David Callan, Hideyuki Ohtsuka, Roberto Tauraso

Integers, 2017

Wilf classification of triples of 4-letter patterns II.

David Callan, Toufik Mansour, Mark Shattuck

Discret. Math. Theor. Comput. Sci., 2017

Wilf classification of triples of 4-letter patterns I.

David Callan, Toufik Mansour, Mark Shattuck

Discret. Math. Theor. Comput. Sci., 2017

2015

Some Combinatorial Arrays Related to the Lotka-Volterra System.

David Callan, Shi-Mei Ma, Toufik Mansour

Electron. J. Comb., 2015

2013

Valuations and Combinatorics of Truncated Exponential Sums.

Tewodros Amdeberhan, David Callan, Victor H. Moll

Integers, 2013

2012

Flexagons Lead to a Catalan Number Identity.

David Callan

Am. Math. Mon., 2012

The run transform.

David Callan, Emeric Deutsch

Discret. Math., 2012

2010

Klazar trees and perfect matchings.

David Callan

Eur. J. Comb., 2010

2009

Oddly Triangulated Polygons: 11298 [2007, 547].

Jakob Jonsson, Annie Carter, David Callan

Am. Math. Mon., 2009

Uniformly Distributed Valleys: 11312 [2007, 744].

David Callan, Marc Renault

Am. Math. Mon., 2009

Divisibility of a Central Binomial Sum: 11292&11307 [2007, 451&640].

David Callan, Robin Chapman

Am. Math. Mon., 2009

Pattern avoidance in "flattened" partitions.

David Callan

Discret. Math., 2009

2008

Problem 11362.

David Callan

Am. Math. Mon., 2008

A Determinant of Stirling Cycle Numbers Counts Unlabeled Acyclic Single-Source Automata.

David Callan

Discret. Math. Theor. Comput. Sci., 2008

Circular Digraph Walks, k-Balanced Strings, Lattice Paths and Chebychev Polynomials.

Evangelos Georgiadis, David Callan, Qing-Hu Hou

Electron. J. Comb., 2008

2007

Problem 11312.

David Callan

Am. Math. Mon., 2007

Problem 11307.

David Callan

Am. Math. Mon., 2007

Problem 11292.

David Callan

Am. Math. Mon., 2007

A Bijection on Dyck Paths and its Cycle Structure.

David Callan

Electron. J. Comb., 2007

2006

The Maximum Associativeness of Division: 11091.

David Callan, et al.

Am. Math. Mon., 2006

A Lattice Path Equality: 11106.

David Callan, Kenneth Bernstein

Am. Math. Mon., 2006

2005

Dyck Paths Skipping Every Fourth Point: 11013.

David Callan, Marc Renault

Am. Math. Mon., 2005

2004

Counting a Set of Rooted Trees: 10952.

David Callan, M. A. Prasad

Am. Math. Mon., 2004

Problem 11106.

David Callan

Am. Math. Mon., 2004

Problem 11091.

David Callan

Am. Math. Mon., 2004

A Uniformly Distributed Statistic on a Class of Lattice Paths.

David Callan

Electron. J. Comb., 2004

2003

Another Description of the Central Delannoy Numbers: 10894.

Robert A. Sulanke, Jose Luis Arregui, Danijela Vujic, Nelson Castañeda, David Callan

Am. Math. Mon., 2003

Another Binomial Coefficient Identity: 10878.

Pál Péter Dályay, Saïd Amghibech, David Callan

Am. Math. Mon., 2003

A Permanent Fixture: 10925.

David Callan, Harris Kwong

Am. Math. Mon., 2003

Problem 11013.

David Callan

Am. Math. Mon., 2003

2002

A Recursively Defined Sequence of Functions: 10785.

Emeric Deutsch, John Henry Steelman, David Callan

Am. Math. Mon., 2002

Problem 10952.

David Callan

Am. Math. Mon., 2002

Problem 10925.

David Callan

Am. Math. Mon., 2002

A Property of the Binary Sum of a Family of Sets: 10865.

David Beckwith, Li Zhou, David Callan

Am. Math. Mon., 2002

2001

A Rational Generating Function for Relative Divisors: 10750.

Leonard Smiley, David Callan, David M. Wells, Saïd Amghibech

Am. Math. Mon., 2001

A Generalization of Hall's Theorem: 10701.

Fred Galvin, Stephen C. Locke, Sung Soo Kim, David Callan

Am. Math. Mon., 2001

Another Path to Generalized Catalan Numbers: 10751.

Emeric Deutsch, David Callan, Sabin Cautis, et al.

Am. Math. Mon., 2001

2000

Interrupted Partitions: 10629.

Frank Schmidt, Peter Mork, David Beckwith, David Callan, D. J. Chapman, G. Lord, Cecil C. Rousseau, Plamen Simeonov, John Henry Steelman

Am. Math. Mon., 2000

A Sum of Chebyshev Inequalities: 10687.

James C. Owings Jr., Jeremy E. Dawson, Robin J. Chapman, Darryl K. Nester, Robert A. Agnew, John Beebee, David Callan, R. Garcia-Pelayo, V. Hernandez, J. Martin, J. Hickman, D. Jones, S. S. Kim, Olaf Krafft, Martin Schaefer, G. Letac, John H. Lindsey II, O. P. Lossers, K. Poelladennou, K. Schilling, M. Shemesh

Am. Math. Mon., 2000

A Property of Some Normal Matrices: 10645.

Jürgen Groß, Götz Trenkler, S.-O. Troschke, William F. Trench, David Callan, Grace Wahba, Robin J. Chapman, Luz M. DeAlba, John H. Lindsey II

Am. Math. Mon., 2000

Tiling Rectangles with Trominoes: 10641.

Jerrold R. Griggs, Michael Woltermann, B. Borchers, David Callan, Robin J. Chapman, J. Chilcott, Paul Cull, A. Ferguson, K. Martin, G. G. Gagola, Solomon W. Golomb, J. Guilford, S. Louis Hakimi, Edward F. Schmeichel, J. K. Haugland, C. H. Jepson, R. Johnsonbaugh, André Kündgen, S. Levandosky, J. T. Lewis, John H. Lindsey II, O. P. Lossers, Reiner Martin, R. Morris, Gerald Myerson, José Heber Nieto, E. Rykken, J. Sorensen, J. Schlosberg, W. Seaman, J. T. Ward, Z. Zeuge

Am. Math. Mon., 2000

When a Multiple of π/2 is Close to an Integer: 10640.

Michael Filaseta, Allen Stenger, David Callan, Zachary Franco

Am. Math. Mon., 2000

Permutation Parameters with the Same Distribution: 10634.

Emeric Deutsch, Ira M. Gessel, David Callan

Am. Math. Mon., 2000

Another Type of Lattice Path: 10658.

Emeric Deutsch, David Callan, M. Beck, David Beckwith, W. Bohm, Richard F. McCoart

Am. Math. Mon., 2000

An Identity Involving Derangements: 10643.

David Callan, Knut Dale, Ivar Skau, John Henry Steelman, Jany C. Binz, Robin J. Chapman, F. Herzig, André Kündgen, Reiner Martin, José Heber Nieto, O. A. Saleh, S. Byrd, Edward F. Schmeichel, Isaac Sofair, Michael Vowe

Am. Math. Mon., 2000

Analysis of a French Inheritance Law: 10652.

David Callan, Robin Chapman, John H. Lindsey II, J. Parkinson, Volkhard Schindler, Plamen Simeonov

Am. Math. Mon., 2000

The Value of Primitive Words: 10636.

David Callan, Robin J. Chapman, John H. Lindsey II, Danrun Huang

Am. Math. Mon., 2000

Periodic Points and Forests: 10666.

David Callan, David Beckwith

Am. Math. Mon., 2000

A Recurrence Generating Multiples of Primes: 10655.

Mihály Bencze, Dan Saracino, Allen Stenger, S. Amghibech, Jean Anglesio, R. Bauer, A. Siegel, David M. Bloom, G. L. Body, David Callan, Robin J. Chapman, Kevin Ford, Stephen M. Gagola Jr., N. Gauthier, W. V. Grounds, T. Hagedorn, R. T. Koether, N. Komanda, R. N. Krishnan, K.-W. Lau, John H. Lindsey II, L. E. Mattics, C. A. Minh, H. N. Ozsoylev, C. Y. Yildirim, P. G. Poonacha, N. R. Sanjeev, C. Popescu, J. Robertson, H.-J. Sieffert, Jeffrey O. Shallit, N. C. Singer, Albert Stadler, D. C. Terr, T. V. Triff, T. Trimble, Pavel Trojovský

Am. Math. Mon., 2000

Rogers-Ramanujan Partitions: 10627.

George E. Andrews, John Henry Steelman, G. L. Body, David Callan, Robin J. Chapman, Kee-Wai Lau, J. T. Lewis, John H. Lindsey II, G. Lord, J. G. Merickel

Am. Math. Mon., 2000

Partitions and Pentagonal Numbers: 10628.

George E. Andrews, Kee-Wai Lau, G. L. Body, David Callan, Robin J. Chapman, G. Lord, Heinz-Jürgen Seiffert, Doron Zeilberger

Am. Math. Mon., 2000