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JCT
2007
97views more  JCT 2007»
13 years 10 months ago
What power of two divides a weighted Catalan number?
Given a sequence of integers b = (b0,b1,b2,...) one gives a Dyck path P of length 2n the weight wt(P) = bh1 bh2 ···bhn , where hi is the height of the ith ascent of P. The corr...
Alexander Postnikov, Bruce E. Sagan
JCT
2000
111views more  JCT 2000»
13 years 10 months ago
Immanants and Finite Point Processes
Givena Hermitian,non-negativede nitekernelK and a character of the symmetric group on n letters, de ne the corresponding immanant function K x1;::: ;xn := P Qn i=1 Kxi;x i, where ...
Persi Diaconis, Steven N. Evans
JCT
1998
68views more  JCT 1998»
13 years 10 months ago
A Note on the Trinomial Analogue of Bailey's Lemma
Recently, Andrews and Berkovich introduced a trinomial version of Bailey’s lemma. In this note we show that each ordinary Bailey pair gives rise to a trinomial Bailey pair. This ...
S. Ole Warnaar
JCT
2010
64views more  JCT 2010»
13 years 9 months ago
A new source of seed pairs for Golay sequences of length 2m
In 2007 Jedwab and Parker proposed [10] that the natural viewpoint for a Golay complementary sequence is as a projection of a multi-dimensional Golay array. In 2008 Fiedler, Jedwa...
Frank Fiedler, Jonathan Jedwab, Amy Wiebe
JCT
2010
83views more  JCT 2010»
13 years 9 months ago
Families of prudent self-avoiding walks
A self-avoiding walk (SAW) on the square lattice is prudent if it never takes a step towards a vertex it has already visited. Prudent walks differ from most classes of SAW that ha...
Mireille Bousquet-Mélou