Date: Nov 20, 2012 4:21 PM
Author: IV
Subject: Number of lattice paths with given steps?

Hallo,

I'm looking for a formula for calculating the number of lattice paths in a
rectangular quadratic integer lattice with given kind of steps and given
numbers of steps of each kind.
That means all lattice paths with n1 steps (1,1), n2 steps (1,2), n3 steps
(1,3) and so on - the numbers n1, n2, n3, ... are given.

Can somebody help?

Was this problem already discussed in the literature?