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%I #10 Dec 01 2013 13:36:34
%S 2,2,4,2,2,3,3,6,2,2,2,2,3,5,4,4,8,2,2,2,2,2,2,2,3,3,4,3,7,4,6,5,5,10,
%T 2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,6,3,4,5,3,9,4,4,4,4,8,5,7,6,6,12,
%U 2,2,2,2,2,2,2,2,2
%N Triangle read by rows: row n lists the parts of the n-th shell of the table A182742.
%C Apparently this is the main table for even numbers of the shell model of partitions. It appears that the table shows an overlapping of all the heads of last sections of partitions of all even numbers. This is the table 2.0 mentioned in A135010, a geometric version of the table A182742. For odd numbers see A182983. The largest parts of the rows of the diagram give A182732.
%e Triangle begins:
%e 2,
%e 2, 4,
%e 2, 2, 3, 3, 6,
%e 2, 2, 2, 2, 3, 5, 4, 4, 8,
%e 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 3, 7, 4, 6, 5, 5, 10
%Y Cf. A135010, A141285, A182732, A182742, A182980, A182983.
%K nonn,tabf
%O 1,1
%A _Omar E. Pol_, Jan 26 2011
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