The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A211993 A list of ordered partitions of the positive integers. 4
1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 4, 2, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 2, 2, 1, 4, 1, 3, 2, 5, 6, 3, 3, 4, 2, 2, 2, 2, 5, 1, 3, 2, 1, 4, 1, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 2, 2, 1, 4, 2, 1, 3, 3, 1, 6, 1, 3, 2, 2, 5, 2, 4, 3, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The order of the partitions of the odd integers is the same as A211992. The order of the partitions of the even integers is the same as A026792.
LINKS
EXAMPLE
A table of partitions.
--------------------------------------------
. Expanded Geometric
Partitions arrangement model
--------------------------------------------
1; 1; |*|
--------------------------------------------
2; . 2; |* *|
1,1; 1,1; |o|*|
--------------------------------------------
1,1,1; 1,1,1; |o|o|*|
2,1; . 2,1; |o o|*|
3; . . 3; |* * *|
--------------------------------------------
4,; . . . 4; |* * * *|
2,2; . 2,. 2; |* *|* *|
3,1; . . 3,1; |o o o|*|
2,1,1,; . 2,1,1; |o o|o|*|
1,1,1,1; 1,1,1,1; |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|*|
3,1,1; . . 3,1,1; |o o o|o|*|
2,2,1; . 2,. 2,1; |o o|o o|*|
4,1; . . . 4,1; |o o o o|*|
3,2; . . 3,. 2; |* * *|* *|
5; . . . . 5; |* * * * *|
--------------------------------------------
6; . . . . . 6; |* * * * * *|
3,3; . . 3,. . 3; |* * *|* * *|
4,2; . . . 4,. 2; |* * * *|* *|
2,2,2; . 2,. 2,. 2; |* *|* *|* *|
5,1; . . . . 5,1; |o o o o o|*|
3,2,1; . . 3,. 2,1; |o o o|o o|*|
4,1,1; . . . 4,1,1; |o o o o|o|*|
2,2,1,1; . 2,. 2,1,1; |o o|o o|o|*|
3,1,1,1; . . 3,1,1,1; |o o o|o|o|*|
2,1,1,1,1; . 2,1,1,1,1; |o o|o|o|o|*|
1,1,1,1,1,1; 1,1,1,1,1,1; |o|o|o|o|o|*|
--------------------------------------------
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, A211994. See also A211983, A211984, A211989, A211999. Spiral arrangements are A211985-A211988, A211995-A211998.
Sequence in context: A205565 A064531 A274468 * A185646 A037829 A270992
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Aug 18 2012
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 24 12:09 EDT 2024. Contains 372773 sequences. (Running on oeis4.)