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%I #10 Mar 16 2023 13:45:16
%S 1,2,148,314662,19415751782,34223109012944482,
%T 1709004742525016740261850,2407826816243421894252785348151226,
%U 95524923938130486476975763614521056527129262,106619635380815059627115813538573777241948002538356771858,3346744054257695722669927876858961813239867346217968957293126431564898
%N Number of ways of dividing a 2n X n rectangle into integer-sided rectangles.
%H David A. Klarner and Spyros S. Magliveras, <a href="https://doi.org/10.1016/S0195-6698(88)80062-3">The number of tilings of a block with blocks</a>, European Journal of Combinatorics 9 (1988), 317-330.
%H Joshua Smith and Helena Verrill, <a href="/A116694/a116694.pdf">On dividing rectangles into rectangles</a>
%F a(n) = A116694(2n,n) = A333476(2n,n).
%Y Cf. A116694, A333476.
%K nonn
%O 0,2
%A _Alois P. Heinz_, Mar 24 2020
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