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 A192093 Number of tatami tilings of a 7 X n grid (with monomers allowed). 2
 1, 21, 357, 406, 490, 584, 827, 1090, 1914, 3262, 6228, 10226, 17114, 25534, 41034, 61778, 102644, 163334, 278554, 446898, 747274, 1175494, 1926612, 3021594, 4960170, 7880334, 13028058, 20841466, 34355316, 54835150, 89785130 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS A tatami tiling consists of dimers (1 X 2) and monomers (1 X 1) where no four meet at a point. LINKS Table of n, a(n) for n=0..30. A. Erickson, F. Ruskey, M. Schurch and J. Woodcock, Monomer-Dimer Tatami Tilings of Rectangular Regions, Electronic Journal of Combinatorics, 18(1) (2011) P109, 24 pages. EXAMPLE Here are some tatami tilings of the 7 X 3 grid: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ |_ _| |_| |_| | |_| |_|_ _| |_| | |_ _| |_| |_| |_| | |_ _| |_| |_ _|_| |_| |_| | |_|_ _| |_| | |_| |_|_| |_| | | |_|_| |_|_| | |_|_ _|_|_|_|_| |_|_ _|_|_|_|_| |_|_|_ _|_|_|_| |_|_ _|_|_ _|_| CROSSREFS Cf. A192092, A192094. Sequence in context: A300320 A271633 A184289 * A006105 A167032 A051564 Adjacent sequences: A192090 A192091 A192092 * A192094 A192095 A192096 KEYWORD nonn AUTHOR Frank Ruskey and Yuji Yamauchi (eugene.uti(AT)gmail.com), Jul 14 2011 STATUS approved

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Last modified December 8 09:58 EST 2023. Contains 367678 sequences. (Running on oeis4.)