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A211028 A list of ordered partitions of the positive integers. 0
1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 2, 2, 4, 3, 1, 2, 1, 1, 1, 1, 1, 1, 3, 2, 5, 2, 2, 1, 4, 1, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 2, 3, 3, 6, 3, 2, 1, 5, 1, 2, 2, 1, 1, 4, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 5, 2, 4, 3, 7, 2, 2, 2, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

We start with 1. Then for each positive integer j the sequence lists the partitions of j that do not contain 1 as a part, in lexicographical order. Then the sequence lists the partitions of j-1 together with one part of size 1 as the last part of that partition. Then the partitions of j-2 together with two parts of size 1, and so on.

LINKS

Table of n, a(n) for n=1..89.

EXAMPLE

Written as an irregular triangle, in which row n lists the partitions of n, the sequence begins:

{1};

{2},{1,1};

{3},{2,1},{1,1,1};

{2,2},{4},{3,1},{2,1,1},{1,1,1,1};

{3,2},{5},{2,2,1},{4,1},{3,1,1},{2,1,1,1},{1,1,1,1,1}};

{2,2,2},{4,2},{3,3},{6},{3,2,1},{5,1},{2,2,1,1},{4,1,1},{3,1,1,1},{2,1,1,1,1},{1,1,1,1,1,1};

...

CROSSREFS

Cf. A026792, A135010.

Sequence in context: A177350 A190688 A145975 * A239001 A277648 A026792

Adjacent sequences:  A211025 A211026 A211027 * A211029 A211030 A211031

KEYWORD

nonn,tabf

AUTHOR

Omar E. Pol, Oct 30 2012

STATUS

approved

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Last modified June 15 22:19 EDT 2019. Contains 324145 sequences. (Running on oeis4.)