OFFSET
1,1
LINKS
Peter Kagey, Illustration of T(3,3)=272
Peter Kagey and William Keehn, Counting tilings of the n X m grid, cylinder, and torus, arXiv: 2311.13072 [math.CO], 2023.
EXAMPLE
Table begins:
n\k| 1 2 3 4 5 6
---+---------------------------------------------
1 | 2 3 6 10 20 36
2 | 3 10 36 136 528 2080
3 | 6 36 272 2080 16512 131328
4 | 10 136 2080 32896 524800 8390656
5 | 20 528 16512 524800 16781312 536887296
6 | 36 2080 131328 8390656 536887296 34359869440
MATHEMATICA
A368223[n_, m_] := 1/2 (2^(n*m) + If[EvenQ[n*m], 2^(n*m/2), 2^((n*m + 1)/2)])
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Kagey, Dec 18 2023
STATUS
approved