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EXAMPLE
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Triangle begins:
1;
1,2,1;
1,2,2,2,1;
1,2,3,3,3,2,1;
1,2,3,3,3,3,3,2,1;
1,2,3,4,4,5,4,4,3,2,1;
1,2,3,4,4,4,5,4,4,4,3,2,1;
1,2,3,4,5,5,5,6,5,5,5,4,3,2,1;
1,2,3,4,5,5,5,6,7,6,5,5,5,4,3,2,1;
1,2,3,4,5,6,6,6,7,7,7,6,6,6,5,4,3,2,1;
1,2,3,4,5,6,6,6,6,7,7,7,6,6,6,6,5,4,3,2,1;
1,2,3,4,5,6,7,7,7,8,9,9,9,8,7,7,7,6,5,4,3,2,1;
...
--------------------------------------------------------------------------
. Written as an isosceles triangle
. the sequence begins: Diagram for n = 1..12
--------------------------------------------------------------------------
. _ _ _ _ _ _ _ _ _ _ _ _
. 1; |_| | | | | | | | | | | |
. 1,2,1; |_ _|_| | | | | | | | | |
. 1,2,2,2,1; |_ _| _|_| | | | | | | |
. 1,2,3,3,3,2,1; |_ _ _| _|_| | | | | |
. 1,2,3,3,3,3,3,2,1; |_ _ _| _| _ _|_| | | |
. 1,2,3,4,4,5,4,4,3,2,1; |_ _ _ _| _| | _ _|_| |
. 1,2,3,4,4,4,5,4,4,4,3,2,1; |_ _ _ _| |_ _|_| _ _|
. 1,2,3,4,5,5,5,6,5,5,5,4,3,2,1; |_ _ _ _ _| _| |
. 1,2,3,4,5,5,5,6,7,6,5,5,5,4,3,2,1; |_ _ _ _ _| | _|
. 1,2,3,4,5,6,6,6,7,7,7,6,6,6,5,4,3,2,1; |_ _ _ _ _ _| _ _|
. 1,2,3,4,5,6,6,6,6,7,7,7,6,6,6,6,5,4,3,2,1; |_ _ _ _ _ _| |
.1,2,3,4,5,6,7,7,7,8,9,9,9,8,7,7,7,6,5,4,3,2,1; |_ _ _ _ _ _ _|
...
For n = 3 the symmetric representation of A024916(3) = 8 in the 4th quadrant looks like this:
.
. Polygon Cells
. _ _ _ _ _ _
. | | |_|_|_|
. | _| |_|_|_|
. |_ _| |_|_|
.
There are eight cells. The representation of the widths looks like this:
.
. \ \ \
. \ \ \
. \ \ 1
. 2 2
. 1 2
.
So the third row of the triangle is [1, 2, 2, 2, 1].
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