OFFSET
1,2
LINKS
Peter Kagey, Illustration of T(3,2)=24
Peter Kagey and William Keehn, Counting tilings of the n X m grid, cylinder, and torus, arXiv: 2311.13072 [math.CO], 2023. See also J. Int. Seq., (2024) Vol. 27, Art. No. 24.6.1, pp. A-1, A-3.
EXAMPLE
Table begins:
n\k | 1 2 3 4 5 6
----+--------------------------------------------
1 | 1 3 4 10 16 36
2 | 2 7 20 76 272 1072
3 | 3 24 144 1120 8448 66816
4 | 6 76 1056 16576 262656 4197376
5 | 10 288 8320 263680 8396800 268517376
6 | 20 1072 65792 4197376 268451840 17180065792
MATHEMATICA
A368218[n_, m_] := 2^(n*m/2 - 2)*(2^(n*m/2) + Boole[EvenQ[n*m]] + Boole[EvenQ[m]] + If[EvenQ[n], 1, 2^(m/2)])
CROSSREFS
KEYWORD
AUTHOR
Peter Kagey, Dec 18 2023
STATUS
approved