OFFSET
1,2
COMMENTS
Row lengths are given by A227940.
LINKS
Christopher Hunt Gribble, C++ program
EXAMPLE
For n = 4, the 8 partitions of 16 into square parts are:
Partition Square side
. 1 2 3 4
.
. 1 16 0 0 0
. 2 12 1 0 0
. 3 8 2 0 0
. 4 4 3 0 0
. 5 0 4 0 0
. 6 7 0 1 0
. 7 3 1 1 0
. 8 0 0 0 1
So T(4,1) = 5 as the first runs of 2 X 2 squares is (0,1,2,3,4) from partitions 1 to 5;
T(4,2) = 2 as the second run is (0,1) from partitions 6 to 7;
T(4,3) = 1 as the third run is (0) from partition 8.
The irregular triangle begins:
\ k 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 ...
n
1 1
2 2
3 3 1
4 5 2 1
5 7 5 2 3 1 1
6 10 7 5 3 1 6 3 1 2 3 1 1
7 13 11 8 6 4 2 9 7 4 2 5 3 1 7 4 2 3 4 ...
8 17 14 12 10 8 5 3 1 13 10 8 6 4 1 9 6 4 2 ...
9 21 19 16 14 12 10 7 5 3 1 17 15 12 10 8 6 3 1 ...
10 26 23 21 19 17 14 12 10 8 5 3 1 22 19 17 15 13 10 ...
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Christopher Hunt Gribble, Oct 04 2013
STATUS
approved