Lattice Path Interpretations
Lattice Path Interpretations
Many famous families of integers can be represented by the number of paths through a lattice given various restrictions. This Demonstration illustrates the various paths from to using northeast and southeast steps, with the option to permit no eastward steps, single steps east, or double steps east, as well as the option to accept paths dipping below the axis (southeast steps). Counting the paths for the various choices generates six named sequences.
(0,0)
(2n,0)
x