login
This site is supported by donations to The OEIS Foundation.

 

Logo

"Email this user" was broken Aug 14 to 9am Aug 16. If you sent someone a message in this period, please send it again.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

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 6 by 3 grid:

    _ _ _ _ _ _   _ _ _ _ _ _   _ _ _ _ _ _   _ _ _ _ _ _

   |_ _| |_| |_| |_| |_|_ _| | | |_ _| |_| | |_| | |_ _| |

   |_ _|_| |_| | | |_|_ _| |_| |_| |_|_| |_| | |_|_| | |_|

   |_|_ _|_|_|_| |_|_ _|_|_|_| |_|_|_ _|_|_| |_|_ _|_|_|_|

CROSSREFS

Cf. A192091, A192093.

Sequence in context: A204766 A163415 A077416 * A102146 A162768 A097827

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified August 20 11:34 EDT 2017. Contains 290835 sequences.