This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A182275 #40 Mar 16 2023 13:42:20 %S A182275 1,1,8,322,70878,84231996,535236230270,18100579400986674, %T A182275 3250879178100782348462,3097923464622249063718465240, %U A182275 15657867573050419014814618149422562,419678195343896524683571751908598967042082,59647666241586874002530830848160043213559146735474 %N A182275 Number of ways of dividing an n X n square into rectangles of integer side lengths. %H A182275 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 A182275 Joshua Smith and Helena Verrill, <a href="/A116694/a116694.pdf">On dividing rectangles into rectangles</a> %F A182275 a(n) = A116694(n,n) for n > 0. %e A182275 For n=2 the a(2) = 8 ways to divide are: %e A182275 ._ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ %e A182275 | | | | | |_ _| | |_| |_| | |_ _| |_|_| |_|_| %e A182275 |_ _| |_|_| |_ _| |_|_| |_|_| |_|_| |_ _| |_|_| %Y A182275 Main diagonal of A116694 and of A333476. %Y A182275 Cf. A034999. %K A182275 nonn %O A182275 0,3 %A A182275 _Matthew C. Russell_, Apr 23 2012 %E A182275 a(11)-a(12) from _Steve Butler_, Mar 14 2014