Search: id:a182715
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A182715
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Triangle read by rows in which row n lists in nonincreasing order the smallest part of every partition of n.
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+0
9
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0, 1, 2, 1, 3, 1, 1, 4, 2, 1, 1, 1, 5, 2, 1, 1, 1, 1, 1, 6, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 4, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
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OFFSET
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0,3
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COMMENTS
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Triangle read by rows in which row n lists the smallest parts of all partitions of n in the order produced by the shell model of partitions of A138121.
Also, row n lists the "filler parts" of all partition of n. For more information see A182699.
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LINKS
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EXAMPLE
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For row 10, see the illustration of the link.
Triangle begins:
0,
1,
2,1,
3,1,1,
4,2,1,1,1,
5,2,1,1,1,1,1,
6,3,2,2,1,1,1,1,1,1,1,
7,3,2,2,1,1,1,1,1,1,1,1,1,1,1,
8,4,3,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
9,4,3,3,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
...
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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EXTENSIONS
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Name simplified and more terms from Omar E. Pol, Oct 21 2011
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STATUS
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approved
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