OFFSET
1,2
COMMENTS
LINKS
Christopher Hunt Gribble, Rows n = 1..13, flattened
Jon E. Schoenfield, Table of solutions for n <= 12
Alois P. Heinz, More ways to divide an 11 X 11 square into sub-squares
FORMULA
T(n,1) = A002522(floor(n/2)).
EXAMPLE
For n = 3, the partitions are:
Square side 1 2 3
9 0 0
5 1 0
0 0 1
So T(3,1) = 2, the length of the run of 2 X 2 squares (0,1) from the first 2 partitions and T(3,2) = 1, the length of the run of 2 X 2 squares (0) from the third. The irregular triangle begins:
\ k 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 ...
n
01 1
02 2
03 2 1
04 5 1 1
05 5 4 1 1
06 10 6 4 2 1 6 1 1
07 10 9 8 5 1 6 5 4 1 6 1 1
08 17 13 11 9 8 13 9 7 5 9 5 3 5 1 1 8 6 5 ...
09 17 16 15 14 11 10 6 4 2 1 13 12 11 10 7 6 9 8 ...
10 26 22 20 18 17 13 12 9 5 1 22 18 16 14 13 9 8 5 ...
11 26 25 24 23 21 19 17 14 13 10 22 21 20 19 17 15 13 10 ...
12 37 33 31 29 28 24 23 20 19 15 14 11 10 6 4 2 1 33 ...
13 37 36 35 34 33 31 29 26 25 22 20 17 15 13 9 5 1 33 ...
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Christopher Hunt Gribble, Jun 23 2013
STATUS
approved