OFFSET
1,4
LINKS
Alois P. Heinz, Rows n = 1..6, flattened (rows n=1..5 from Christopher Hunt Gribble)
Christopher Hunt Gribble, C++ program
EXAMPLE
The irregular triangle begins:
r 1 2 3 4 ...
n,k
1,1 1
2,1 1
2,2 1 2
3,1 1
3,2 1 2
3,3 1 2 3
4,1 1
4,2 1 3
4,3 1 3 4
4,4 1 5 6 11
5,1 1
5,2 1 3
5,3 1 3 5
5,4 1 5 8 15
5,5 1 5 9 17 19
...
T(4,4,3) = 6 because there are 6 partitions of a 4 X 4 X 3 rectangular cuboid into integer-sided cubes. The partitions are:
48 1 X 1 X 1 cubes,
40 1 X 1 X 1 cubes and 1 2 X 2 X 2 cube,
32 1 X 1 X 1 cubes and 2 2 X 2 X 2 cubes,
24 1 X 1 X 1 cubes and 3 2 X 2 X 2 cubes,
16 1 X 1 X 1 cubes and 4 2 X 2 X 2 cubes,
21 1 X 1 X 1 cubes and 1 3 X 3 X 3 cube.
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Christopher Hunt Gribble, Aug 17 2013
EXTENSIONS
21 more terms (row 6) from Alois P. Heinz, Aug 18 2013
STATUS
approved