cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A192092 Number of tatami tilings of a 6 X n grid (with monomers allowed).

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%I A192092 #20 Jan 01 2023 09:47:22
%S A192092 1,13,156,196,238,325,450,827,1404,2828,4603,7890,12475,20396,34708,
%T A192092 57979,102658,170075,292948,482036,812571,1365010,2293755,3918292,
%U A192092 6555468,11171195,18648162,31563547,53005132,89383740,151102715
%N A192092 Number of tatami tilings of a 6 X n grid (with monomers allowed).
%C A192092 A tatami tiling consists of dimers (1 X 2) and monomers (1 X 1) where no four meet at a point.
%H A192092 A. Erickson, F. Ruskey, M. Schurch and J. Woodcock, <a href="https://doi.org/10.37236/596">Monomer-Dimer Tatami Tilings of Rectangular Regions</a>, Electronic Journal of Combinatorics, 18(1) (2011) P109, 24 pages.
%e A192092 Here are some tatami tilings of the 6 X 3 grid:
%e A192092     _ _ _ _ _ _   _ _ _ _ _ _   _ _ _ _ _ _   _ _ _ _ _ _
%e A192092    |_ _| |_| |_| |_| |_|_ _| | | |_ _| |_| | |_| | |_ _| |
%e A192092    |_ _|_| |_| | | |_|_ _| |_| |_| |_|_| |_| | |_|_| | |_|
%e A192092    |_|_ _|_|_|_| |_|_ _|_|_|_| |_|_|_ _|_|_| |_|_ _|_|_|_|
%Y A192092 Cf. A192091, A192093.
%K A192092 nonn
%O A192092 0,2
%A A192092 _Frank Ruskey_ and Yuji Yamauchi (eugene.uti(AT)gmail.com), Jul 14 2011