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 A385240 #29 Sep 02 2025 16:39:07 %S A385240 1,0,1,0,0,1,0,0,1,1,0,0,2,1,1,0,0,0,3,2,1,0,0,0,3,8,2,1,0,0,0,2,15, %T A385240 11,3,1,0,0,0,0,19,35,19,3,1,0,0,0,0,7,87,75,23,4,1,0,0,0,0,1,114,257, %U A385240 119,35,4,1,0,0,0,0,0,56,593,571,210,40,5,1,0 %N A385240 Array read by descending antidiagonals: T(n,k) is the number of k element sets of noncongruent integer sided rectangles that fill an n X n square. %F A385240 T(n,1) = 1. %F A385240 T(n,k) = 0 for k > n^2. %e A385240 Array begins: %e A385240 1 0 0 0 0 %e A385240 1 0 0 0 0 %e A385240 1 1 2 0 0 %e A385240 1 1 3 3 2 %e A385240 1 2 8 15 19 %e A385240 1 2 11 35 87 %e A385240 1 3 19 75 257 %e A385240 1 3 23 119 571 %e A385240 1 4 35 210 1186 %e A385240 1 4 40 289 2033 %Y A385240 Columns: A000012 (k=1), A004526 (k=2), A381847 (k=3), A387171 (k=4), A387241 (k=5). %Y A385240 Cf. A386296 (3-dimensional version). %K A385240 nonn,tabl,new %O A385240 1,13 %A A385240 _Janaka Rodrigo_, Aug 26 2025 %E A385240 More terms from _Sean A. Irvine_, Sep 02 2025