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.

A219952 Number of tilings of an n X n square using right trominoes and 2 X 2 tiles.

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%I A219952 #22 Mar 30 2025 10:57:01
%S A219952 1,0,1,0,6,0,545,5504,652036,44013568,11112714624,3517475475328,
%T A219952 2781543486427548,3568483481372543360,9829161878198755474915,
%U A219952 48599777948701165162242560,484370819140388708451108625276,9036085159101926537420075859958528
%N A219952 Number of tilings of an n X n square using right trominoes and 2 X 2 tiles.
%H A219952 Kai Liang, <a href="https://arxiv.org/abs/2503.17698">Solving tiling enumeration problems by tensor network contractions</a>, arXiv:2503.17698 [math.CO], 2025. See p. 25, Table 4.
%e A219952 a(4) = 6, because there are 6 tilings of a 4 X 4 square using right trominoes and 2 X 2 tiles:
%e A219952   .___.___. .___.___. .___.___. .___.___. .___.___. .___.___.
%e A219952   | . | . | | ._|_. | | ._| . | | ._|_. | | ._|_. | | . |_. |
%e A219952   |___|___| |_| . |_| |_| |___| |_| ._|_| |_|_. |_| |___| |_|
%e A219952   | . | . | | |___| | | |___| | | |_| . | | . |_| | | |___| |
%e A219952   |___|___| |___|___| |___|___| |___|___| |___|___| |___|___|
%Y A219952 Main diagonal of A219946.
%Y A219952 Cf. A233807.
%K A219952 nonn
%O A219952 0,5
%A A219952 _Alois P. Heinz_, Dec 01 2012
%E A219952 a(15)-a(16) from _Alois P. Heinz_, Sep 24 2014
%E A219952 a(17) from _Alois P. Heinz_, Nov 18 2018