A353934 - OEIS

%I #10 May 12 2022 18:37:05

%S 1,1,11,369,83374,90916452,546063639624,17259079054003609,

%T 2916019543694306398589,2620143594924539083433405392,

%U 12541344781693990981151732534871036,319608708168951734031266758322647453517098,43373075269161087186367095378869660507262626652634

%N Number of tilings of an n X n square using right trominoes, dominoes, and monominoes.

%H Alois P. Heinz, <a href="/A353934/b353934.txt">Table of n, a(n) for n = 0..16</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Polyomino">Polyomino</a>

%F a(n) = A353877(n,n).

%e a(2) = 11:

%e   .___. .___. .___. .___. .___. .___. .___. .___. .___. .___. .___.

%e   |_|_| |___| | | | |_|_| |___| |_| | | |_| |_| | |_. | | ._| | |_|

%e   |_|_| |___| |_|_| |___| |_|_| |_|_| |_|_| |___| |_|_| |_|_| |___| .

%Y Main diagonal of A353877.

%Y Cf. A004003, A028420, A063443, A219874, A219952, A219994, A220061, A220778, A233807, A270071, A353777.

%K nonn

%O 0,3

%A _Alois P. Heinz_, May 11 2022