%I #8 Sep 05 2021 22:00:44
%S 0,5,50,256,1402,6940,33502,157279,725080,3293575,14789640,65785991,
%T 290341336,1272947979,5549535668,24075671345,104002776564,
%U 447586575256,1919810662952,8210002538205,35015688030978,148980204943747,632466650426456,2679623444793841
%N Number of squares in all tilings of a 5 X n rectangle using integer-sided square tiles.
%H Alois P. Heinz, <a href="/A226548/b226548.txt">Table of n, a(n) for n = 0..1000</a>
%F G.f.: (x^10 +12*x^9 +28*x^8 +54*x^7 +33*x^6 +18*x^5 -53*x^4 -42*x^3 +6*x^2 +30*x+5)*x / (x^8 +3*x^7 +2*x^6 +5*x^5 +x^4 -6*x^3 -7*x^2 -2*x+1)^2.
%Y Column k=5 of A226545.
%Y Cf. A054857.
%K nonn,easy
%O 0,2
%A _Alois P. Heinz_, Jun 10 2013