Tiling n X m rectangles with 1 X 1 and s X s squares
Abstract
We consider tilings of a rectangle which is n units wide and m units long by non-overlapping 1 X 1 squares and s X s squares. Bivariate generating functions are computed with the Transfer Matrix Method for moderately large but fixed widths n as a function of the parameter m and of the number of s X s squares in the rectangle.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2016
- DOI:
- 10.48550/arXiv.1609.03964
- arXiv:
- arXiv:1609.03964
- Bibcode:
- 2016arXiv160903964M
- Keywords:
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- Mathematics - Combinatorics;
- 52C20 (Primary);
- 05B45 (Secondary)
- E-Print:
- 21 Pages plus Java program in the anc subdirectory