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A211984
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A list of ordered partitions of the positive integers in which the shells of each integer are assembled by their tails.
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8
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1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 5, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 4, 1, 5, 1, 3, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 4, 1, 1, 2, 2, 2, 4, 2, 3, 3, 6, 7, 4, 3, 5, 2, 3, 2, 2, 5, 1, 1, 3, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 4, 2, 1, 6, 1
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listen;
history;
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internal format)
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OFFSET
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1,4
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COMMENTS
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The order of the partitions of the odd integers is the same as A211989. The order of the partitions of the even integers is the same as A211999.
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LINKS
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EXAMPLE
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A table of partitions.
--------------------------------------------
. Expanded Geometric
Partitions arrangement model
--------------------------------------------
1; 1; |*|
--------------------------------------------
1,1; 1,1; |o|*|
2; . 2; |* *|
--------------------------------------------
3; . . 3; |* * *|
1,1,1; 1,1,1; |o|o|*|
2,1; . 2,1; |o o|*|
--------------------------------------------
3,1; . . 3,1; |o o o|*|
1,1,1,1; 1,1,1,1; |o|o|o|*|
2,1,1; . 2,1,1; |o o|o|*|
2,2; . 2,. 2; |* *|* *|
4; . . . 4; |* * * *|
--------------------------------------------
5; . . . . 5; |* * * * *|
3,2; . . 3,. 2; |* * *|* *|
3,1,1; . . 3,1,1; |o o o|o|*|
1,1,1,1,1; 1,1,1,1,1; |o|o|o|o|*|
2,1,1,1; . 2,1,1,1; |o o|o|o|*|
2,2,1; . 2,. 2,1; |o o|o o|*|
4,1; . . . 4,1; |o o o o|*|
--------------------------------------------
5,1; . . . . 5,1; |o o o o o|*|
3,2,1; . . 3,. 2,1; |o o o|o o|*|
3,1,1,1; . . 3,1,1,1; |o o o|o|o|*|
1,1,1,1,1; 1,1,1,1,1,1; |o|o|o|o|o|*|
2,1,1,1,1; . 2,1,1,1,1; |o o|o|o|o|*|
2,2,1,1; . 2,. 2,1,1; |o o|o o|o|*|
4,1,1; . . . 4,1,1; |o o o o|o|*|
2,2,2; . 2,. 2,1,1; |* *|* *|* *|
4,2; . . . 4,1,1; |* * * *|* *|
3,3; . . 3,. . 3; |* * *|* * *|
6; . . . . . 6; |* * * * * *|
--------------------------------------------
Note that * is a unitary element of every part of the last section of j.
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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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STATUS
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approved
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