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%I #12 Sep 05 2021 22:03:08
%S 0,29,69,153,373,917,2321,5933,15317,39737,103461,269925,705169,
%T 1843709,4822949,12620249,33029909,86456693,226319505,592468365,
%U 1551031477,4060538489,10630442309,27830559173,72860864273,190751433437,499392464901,1307424389913
%N Number of squares of size n^2 in all tilings of an (n+2) X (n+2) square using integer-sided square tiles.
%H Alois P. Heinz, <a href="/A226892/b226892.txt">Table of n, a(n) for n = 0..1000</a>
%F G.f.: (17*x^5 - 29*x^4 - 73*x^3 + 65*x^2 + 47*x - 29)*x / (-x^6 + 2*x^5 + 4*x^4 - 6*x^3 - 2*x^2 + 4*x - 1).
%e a(1) = 29:
%e ._._._. ._._._. ._._._. ._._._. ._._._. ._._._.
%e | | | |_| |_|_|_| |_| | |_|_|_| |_|_|_|
%e | | |___|_| | |_| |_|___| |_| | |_|_|_|
%e |_____| |_|_|_| |___|_| |_|_|_| |_|___| |_|_|_|.
%Y A diagonal of A226936.
%K nonn
%O 0,2
%A _Alois P. Heinz_, Jun 22 2013
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