A de Bruijn-type formula for enumerating patterns of partitions.
Displaying 21 – 40 of 75
A determinant of the Chudnovskys generalizing the elliptic Frobenius-Stickelberger-Cauchy determinantal identity.
Amdeberhan, Tewodros (2000)
The Electronic Journal of Combinatorics [electronic only]
A direct bijective proof of the hook-length formula.
Novelli, Jean-Christophe, Pak, Igor, Stoyanovskii, Alexander V. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
A Generalization of the Matrix-Tree Theorem.
Mordechai Lewin (1982)
Mathematische Zeitschrift
A generalized major index statistic.
Assaf, Sami H. (2008)
Séminaire Lotharingien de Combinatoire [electronic only]
A generating functions proof of a curious identity.
Panholzer, Alois, Prodinger, Helmut (2002)
Integers
A large dihedral symmetry of the set of alternating sign matrices.
Wieland, Benjamin (2000)
The Electronic Journal of Combinatorics [electronic only]
A new class of infinite products, and Euler's totient.
Campbell, Geoffrey B. (1994)
International Journal of Mathematics and Mathematical Sciences
A new class of -Fibonacci polynomials.
Cigler, Johann (2003)
The Electronic Journal of Combinatorics [electronic only]
A new combinatorial identity.
Sinyor, Joseph, Speevak, Ted, Tefera, Akalu (2001)
International Journal of Mathematics and Mathematical Sciences
A new proof of some identities of Bressoud.
Chapman, Robin (2002)
International Journal of Mathematics and Mathematical Sciences
A new triple sum combinatorial identity.
Sinyor, Joseph, Tefera, Akalu (2002)
International Journal of Mathematics and Mathematical Sciences
A normalization formula for the Jack polynomials in superspace and an identity on partitions.
Lapointe, Luc, Le Borgne, Yvan, Nadeau, Philippe (2009)
The Electronic Journal of Combinatorics [electronic only]
A note on major sequences and external activity in trees.
Beissinger, Janet S., Peled, Uri N. (1997)
The Electronic Journal of Combinatorics [electronic only]
A note on Narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations.
Barry, Paul, Hennessy, Aoife (2011)
Journal of Integer Sequences [electronic only]
A note on some polynomial identities
L. Carlitz (1980)
Acta Arithmetica
A note on the determinant of a Toeplitz-Hessenberg matrix
Mircea Merca (2013)
Special Matrices
The nth-order determinant of a Toeplitz-Hessenberg matrix is expressed as a sum over the integer partitions of n. Many combinatorial identities involving integer partitions and multinomial coefficients can be generated using this formula.
A -analogue of a formula of Frobenius.
Briggs, Karen S., Remmel, Jeffrey B. (2003)
The Electronic Journal of Combinatorics [electronic only]
A proof of a conjecture of Knuth.
Paule, Peter (1996)
Experimental Mathematics
A proof of the identities of Gordon and MacMahon and two new identities. (La démonstration des identités de Gordon et MacMahon et de deux identités nouvelles.)
Désarménien, Jacques (1986)
Séminaire Lotharingien de Combinatoire [electronic only]