Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Number of lattice paths with given steps?
Replies: 7   Last Post: Nov 24, 2012 6:41 AM

 Search Thread: Advanced Search

 Messages: [ Previous | Next ]
 IV Posts: 356 Registered: 9/1/11
Number of lattice paths with given steps?
Posted: Nov 20, 2012 4:21 PM
 Plain Text Reply

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?

Date Subject Author
11/20/12 IV
11/20/12 William Elliot
11/21/12 IV
11/21/12 William Elliot
11/22/12 IV
11/22/12 William Elliot
11/24/12 IV
11/20/12 trj

© The Math Forum at NCTM 1994-2018. All Rights Reserved.