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A211994
A list of ordered partitions of the positive integers.
8
1, 1, 1, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 2, 4, 5, 3, 2, 4, 1, 2, 2, 1, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 1, 1, 2, 2, 1, 1, 4, 1, 1, 3, 2, 1, 5, 1, 2, 2, 2, 4, 2, 3, 3, 6, 7, 4, 3, 5, 2, 3, 2, 2, 6, 1, 3, 3, 1, 4, 2, 1, 2, 2, 2, 1, 5, 1, 1, 3, 2, 1, 1, 4, 1, 1, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
OFFSET
1,4
COMMENTS
The order of the partitions of the odd integers is the same as A026792. The order of the partitions of the even integers is the same as A211992.
EXAMPLE
A table of partitions.
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. Expanded Geometric
Partitions arrangement model
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1; 1; |*|
--------------------------------------------
1,1; 1,1; |o|*|
2; . 2; |* *|
--------------------------------------------
3; . . 3; |* * *|
2,1; . 2,1; |o o|*|
1,1,1; 1,1,1; |o|o|*|
--------------------------------------------
1,1,1,1; 1,1,1,1; |o|o|o|*|
2,1,1; . 2,1,1; |o o|o|*|
3,1; . . 3,1; |o o o|*|
2,2; . 2,. 2; |* *|* *|
4; . . . 4; |* * * *|
--------------------------------------------
5; . . . . 5; |* * * * *|
3,2; . . 3,. 2; |* * *|* *|
4,1; . . . 4,1; |o o o o|*|
2,2,1; . 2,. 2,1; |o o|o o|*|
3,1,1; . . 3,1,1; |o o o|o|*|
2,1,1,1; . 2,1,1,1; |o o|o|o|*|
1,1,1,1,1; 1,1,1,1,1; |o|o|o|o|*|
--------------------------------------------
1,1,1,1,1,1; 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|*|
3,1,1,1; . . 3,1,1,1; |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|*|
3,2,1; . . 3,. 2,1; |o o o|o o|*|
5,1; . . . . 5,1; |o o o o o|*|
2,2,2; . 2,. 2,. 2; |* *|* *|* *|
4,2; . . . 4,. 2; |* * * *|* *|
3,3; . . 3,. . 3; |* * *|* * *|
6; . . . . . 6; |* * * * * *|
--------------------------------------------
Note that * is a unitary element of every part of the last section of j.
CROSSREFS
Rows sums give A036042, n>=1.
Other versions are A026792, A211992, A211993. See also A211983, A211984, A211989, A211999. Spiral arrangements are A211985-A211988, A211995-A211998.
Sequence in context: A339071 A358478 A083475 * A122402 A179008 A255252
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Aug 18 2012
STATUS
approved