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, 4, 2, 6, 4, 12, 2, 6, 4, 14, 4, 6, 4, 26

Offset: 1

Author

Omar E. Pol, Feb 01 2014

Keywords

• nonn
• tabf
• more

Comments

Right border gives A236002, n >= 1.

Row sums give A236625, n >= 1.

Examples

			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

Cf. A236002, A236625, A236626.