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A236628
Triangle read by rows in which T(n,k) is the number of parts in the k-th region of the set of overcompositions of n, with overcompositions in colexicographic order.
2
2, 2, 4, 2, 6, 4, 12, 2, 6, 4, 14, 4, 6, 4, 26
OFFSET
1,1
COMMENTS
Right border gives A236002, n >= 1.
Row sums give A236625, n >= 1.
EXAMPLE
Written as an irregular triangle in which row n has length 2^n the sequence begins:
2;
2, 4;
2, 6, 4, 12;
2, 6, 4, 14, 4, 6, 4, 26;
...
For n = 3 the diagram shows the four regions of the overcompositions of 3, with overcompositions in colexicographic order.
------------------------------------------------
. Diagram of Regions of the diagram
overcompositions ------------------------
. of 3 k: 1 2 3 4
------------------------------------------------
. _ _ _ _ _ _
1 |.| | | |.| | | | |
2 |_| | | |_| _| | | |
3 | .|.| | .| |.|
4 | |.| | | |.|
5 | .| | | .| | |
6 |_ _| | |_ _| _ _| |
7 |.| .| |.| | .|
8 | | .| | | | .|
9 |.| | |.| | |
10 |_| | |_| _| |
11 | .| | .|
12 |_ _ _| |_ _ _|
...
Number of parts.........: 2 6 4 12
.
Every row of every region contains only one part.
CROSSREFS
KEYWORD
nonn,tabf,more
AUTHOR
Omar E. Pol, Feb 01 2014
STATUS
approved