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 A385247 #11 Jul 29 2025 08:36:31
%S A385247 0,0,1,70,846,3508,12960,30064,74164,134745,266396
%N A385247 a(n) is the number of ways to partition n X n X n cube into 6 noncongruent cuboids.
%C A385247 A386296 is the main sequence for this topic.
%C A385247 Alternatively a(n) is the number of distinct six-cuboid combinations filling an n X n X n cube.
%e A385247 Let the elements x,y and z of the unordered triplet (x,y,z) be the dimensions of a cuboid of the set of distinct six-cuboid combinations. One of the sets of six distinct unordered triplets of a(4) representing a six-cuboid combinations filling 4 X 4 X 4 cube is,
%e A385247 {(3,4,4),(1,2,3),(1,2,2),(1,1,3),(1,1,2),(1,1,1)}.
%Y A385247 Column 6 of A386296.
%Y A385247 Cf. A381847 (3 cuboids), A384311 (4 cuboids), A384479 (5 cuboids).
%K A385247 nonn,more
%O A385247 1,4
%A A385247 _Sean A. Irvine_ and _Janaka Rodrigo_, Jul 28 2025