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

1,1

Comments

Right border gives A236002, n >= 1.

Row sums give A236625, n >= 1.

Links

Table of n, a(n) for n=1..15.

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

Cf. A236002, A236625, A236626.

Sequence in context: A240828 A239240 A054929 * A078429 A360523 A358039

Adjacent sequences: A236625 A236626 A236627 * A236629 A236630 A236631

Keyword

nonn,tabf,more

Author

Omar E. Pol, Feb 01 2014

Status

approved