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A353964 Number of tilings of a 2 X n rectangle using 2 X 2 and 1 X 1 tiles and right trominoes.

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%I A353964 #13 May 14 2022 22:37:13
%S A353964 1,1,6,13,45,122,373,1073,3182,9293,27349,80178,235509,691097,2028998,
%T A353964 5955501,17482685,51318186,150642613,442198913,1298048350,3810328141,
%U A353964 11184967717,32832705122,96378199989,282911661033,830468071222,2437782776365,7155946454541
%N A353964 Number of tilings of a 2 X n rectangle using 2 X 2 and 1 X 1 tiles and right trominoes.
%C A353964 For tiling algorithm see A351322.
%H A353964 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,5,2).
%F A353964 G.f.: 1 / (1 - x - 5*x^2 - 2*x^3).
%F A353964 a(n) = a(n-1) + 5*a(n-2) + 2*a(n-3).
%e A353964 a(3)=13, see example 3 X 2, A353965.
%o A353964 (Maxima) See A352589.
%Y A353964 Cf. A351322, A352589, A353963, A353965.
%K A353964 nonn,easy
%O A353964 0,3
%A A353964 _Gerhard Kirchner_, May 13 2022