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JCT
2007
97views more  JCT 2007»
14 years 9 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»
14 years 9 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»
14 years 9 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»
14 years 8 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»
14 years 8 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