OFFSET
1,6
COMMENTS
A strict cuboid is a cuboid with all three dimensions different.
Alternatively a(n) is the number of ways to decompose triplet (n,n,n) into sets of distinct four unordered triplets of the form (x,y,z) with x != y != z for each of the four triplets.
EXAMPLE
As described in A384311 there are 85 sets of distinct four-cuboid combinations filling 6 X 6 X 6 cube and only two of those have all four triplets with different elements, those are;
{(1,2,6), (1,4,6), (2,5,6), (4,5,6)},
{(1,3,6), (2,3,6), (3,4,6), (3,5,6)}.
Therefore a(6) = 2.
CROSSREFS
KEYWORD
nonn
AUTHOR
Janaka Rodrigo, Aug 06 2025
EXTENSIONS
More terms from Sean A. Irvine, Aug 06 2025
STATUS
approved