analytical solution about the duct flow

in the analytical solution about the 3d duct flow.
ua(y, z)=
16a2
3 −
p
x k=1,3,5,…
(−1)(k−1)/2 1 −
cosh(kz/2a)
cosh(kb/2a) cos(ky/2a)
k3
k=1,3,5 is what?