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%I #22 Jan 06 2017 08:29:39
%S 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,
%T 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,
%U 11,12,11,10,9,8,9,9,8,9,10,11,12
%N Square array read by antidiagonals related to the symmetric representation of sigma.
%C 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).
%C 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).
%C The main diagonal gives A244367.
%e . _ _ _ _ _ _ _ _ _
%e 1,2,3,4,5,6,7,8,9... |_| | | | | | | | |
%e 2,2,3,4,5,6,7,8,9... |_ _|_| | | | | | |
%e 3,3,4,4,5,6,7,8,9... |_ _| _|_| | | | |
%e 4,4,4,6,6,6,7,8,9... |_ _ _| _|_| | |
%e 5,5,5,6,6,8,8,8,9... |_ _ _| _| _ _|_|
%e 6,6,6,6,8,8,9... |_ _ _ _| _| |
%e 7,7,7,7,8,9,9... |_ _ _ _| |_ _|
%e 8,8,8,8,8... |_ _ _ _ _|
%e 9,9,9,9,9... |_ _ _ _ _|
%e .
%Y Cf. A000203, A064987, A143128, A185283, A196020, A236104, A235791, A237270, A237271, A237591, A237593, A071562, A244367.
%K nonn,tabl
%O 1,2
%A _Omar E. Pol_, Jul 04 2014
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