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A384724 a(n) is the number of 4 element sets of distinct integer sided strict rectangles that fill an n X n square.

%I A384724 #17 Sep 02 2025 17:23:40
%S A384724 0,0,0,0,5,15,39,70,132,197,311,421,606,771,1047,1275,1655,1968,2466,
%T A384724 2863,3510,4004,4802,5416,6384,7116,8286,9144,10517,11535,13125,14290,
%U A384724 16140,17465,19565,21085,23454,25155,27837,29727,32711,34836,38136,40471,44142,46700,50720,53548,57936,61008
%N A384724 a(n) is the number of 4 element sets of distinct integer sided strict rectangles that fill an n X n square.
%C A384724 A strict rectangle is a rectangle that is not a square.
%e A384724 a(5) = 5 sets of integer sided strict rectangles are:
%e A384724   {(1,2), (1,3), (1,5), (3,5)},
%e A384724   {(1,2), (1,3), (2,4), (3,4)},
%e A384724   {(1,2), (1,5), (2,3), (3,4)},
%e A384724   {(1,2), (1,5), (2,4), (2,5)},
%e A384724   {(1,3), (1,4), (2,4), (2,5)}.
%Y A384724 Cf. A387171.
%K A384724 nonn,new
%O A384724 1,5
%A A384724 _Janaka Rodrigo_, Aug 23 2025