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%I #14 Apr 28 2016 11:32:23
%S 2,2,4,2,6,4,12,2,6,4,14,4,6,4,26
%N 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.
%C Right border gives A236002, n >= 1.
%C Row sums give A236625, n >= 1.
%e Written as an irregular triangle in which row n has length 2^n the sequence begins:
%e 2;
%e 2, 4;
%e 2, 6, 4, 12;
%e 2, 6, 4, 14, 4, 6, 4, 26;
%e ...
%e For n = 3 the diagram shows the four regions of the overcompositions of 3, with overcompositions in colexicographic order.
%e ------------------------------------------------
%e . Diagram of Regions of the diagram
%e overcompositions ------------------------
%e . of 3 k: 1 2 3 4
%e ------------------------------------------------
%e . _ _ _ _ _ _
%e 1 |.| | | |.| | | | |
%e 2 |_| | | |_| _| | | |
%e 3 | .|.| | .| |.|
%e 4 | |.| | | |.|
%e 5 | .| | | .| | |
%e 6 |_ _| | |_ _| _ _| |
%e 7 |.| .| |.| | .|
%e 8 | | .| | | | .|
%e 9 |.| | |.| | |
%e 10 |_| | |_| _| |
%e 11 | .| | .|
%e 12 |_ _ _| |_ _ _|
%e ...
%e Number of parts.........: 2 6 4 12
%e .
%e Every row of every region contains only one part.
%Y Cf. A236002, A236625, A236626.
%K nonn,tabf,more
%O 1,1
%A _Omar E. Pol_, Feb 01 2014
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