We study the enumeration of profiles, which are outlines that occur when
tiling a rectangular board with squares, dominoes, and trominoes. Profiles of
length correspond to a
special subset of the set
,
called profile strings. Profiles and their corresponding strings
first appeared in the enumeration of the tilings of rectangular
and
boards with
squares, dominoes, and trominoes. Profiles also play a role in enumerating the tilings of an
board for any
fixed
. We
describe how profiles arise when enumerating tilings, and we prove that the number of profile
strings of length
equals
.
PDF Access Denied
We have not been able to recognize your IP address
18.97.14.88
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.