A continued fraction expansion for a q-tangent function
We prove a continued fraction expansion for a certain q--tangent function that was conjectured by Prodinger.
math.CO↗
arXiv subjects
Markus Fulmek
Publications and source records attributed to Markus Fulmek.
The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis, II
We compute the number of rhombus tilings of a hexagon with side lengths N,M,N,N,M,N, with N and M having the same parity, which contain a particular rhombus next to the center of the hexagon. The special case N=M of one of our results solves a problem posed by Propp. In the proofs, Hankel determinants featuring Bernoulli numbers play an important role.
math.CO↗
The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis, I
We compute the number of rhombus tilings of a hexagon with sides $N,M,N,N,M,N$, which contain a fixed rhombus on the symmetry axis that cuts through the sides of length $M$.
math.CO↗
Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus on its symmetry axis
We compute the number of rhombus tilings of a hexagon with sides $N,M,N,N,M,N$, which contain a fixed rhombus on the symmetry axis. A special case solves a problem posed by Jim Propp.
math.CO↗