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A244580
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Square array read by antidiagonals related to the symmetric representation of sigma.
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14
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1, 2, 2, 3, 2, 3, 4, 3, 3, 4, 5, 4, 4, 4, 5, 6, 5, 4, 4, 5, 6, 7, 6, 5, 6, 5, 6, 7, 8, 7, 6, 6, 6, 6, 7, 8, 9, 8, 7, 6, 6, 6, 7, 8, 9, 10, 9, 8, 7, 8, 8, 7, 8, 9, 10, 11, 10, 9, 8, 8, 8, 8, 8, 9, 10, 11, 12, 11, 10, 9, 8, 9, 9, 8, 9, 10, 11, 12
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internal format)
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OFFSET
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1,2
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COMMENTS
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The number of parts k in the square array is equal to A000203(k) hence the sum of parts k is equal to A064987(k).
The structure has a three-dimensional representation using polycubes. T(n,k) is the height of a column. The total area in the horizontal level z gives A000203(z).
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LINKS
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EXAMPLE
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. _ _ _ _ _ _ _ _ _
1,2,3,4,5,6,7,8,9... |_| | | | | | | | |
2,2,3,4,5,6,7,8,9... |_ _|_| | | | | | |
3,3,4,4,5,6,7,8,9... |_ _| _|_| | | | |
4,4,4,6,6,6,7,8,9... |_ _ _| _|_| | |
5,5,5,6,6,8,8,8,9... |_ _ _| _| _ _|_|
6,6,6,6,8,8,9... |_ _ _ _| _| |
7,7,7,7,8,9,9... |_ _ _ _| |_ _|
8,8,8,8,8... |_ _ _ _ _|
9,9,9,9,9... |_ _ _ _ _|
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CROSSREFS
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Cf. A000203, A064987, A143128, A185283, A196020, A236104, A235791, A237270, A237271, A237591, A237593, A071562, A244367.
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KEYWORD
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AUTHOR
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STATUS
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approved
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