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 A192092 Number of tatami tilings of a 6 by n grid (with monomers allowed). 2
 1, 13, 156, 196, 238, 325, 450, 827, 1404, 2828, 4603, 7890, 12475, 20396, 34708, 57979, 102658, 170075, 292948, 482036, 812571, 1365010, 2293755, 3918292, 6555468, 11171195, 18648162, 31563547, 53005132, 89383740, 151102715 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS A tatami tiling consists of dimers (1x2) and monomers (1x1) where no four meet at a point. LINKS 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 6 by 3 grid:     _ _ _ _ _ _   _ _ _ _ _ _   _ _ _ _ _ _   _ _ _ _ _ _    |_ _| |_| |_| |_| |_|_ _| | | |_ _| |_| | |_| | |_ _| |    |_ _|_| |_| | | |_|_ _| |_| |_| |_|_| |_| | |_|_| | |_|    |_|_ _|_|_|_| |_|_ _|_|_|_| |_|_|_ _|_|_| |_|_ _|_|_|_| CROSSREFS Cf. A192091, A192093. Sequence in context: A204766 A163415 A077416 * A297454 A102146 A162768 Adjacent sequences:  A192089 A192090 A192091 * A192093 A192094 A192095 KEYWORD nonn AUTHOR Frank Ruskey and Yuji Yamauchi (eugene.uti(AT)gmail.com), Jul 14 2011 STATUS approved

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Last modified August 20 19:51 EDT 2019. Contains 326155 sequences. (Running on oeis4.)