OFFSET
0,3
COMMENTS
The partitions are represented as weakly increasing lists of parts.
The number of such partitions that start with part p0 = 1 are given in A238875.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..400
EXAMPLE
The a(9) = 20 such partitions are:
01: [ 1 1 1 1 1 1 1 1 1 ]
02: [ 1 1 1 1 1 1 1 2 ]
03: [ 1 1 1 1 1 1 3 ]
04: [ 1 1 1 1 1 2 2 ]
05: [ 1 1 1 1 1 4 ]
06: [ 1 1 1 1 2 3 ]
07: [ 1 1 1 1 5 ]
08: [ 1 1 1 2 2 2 ]
09: [ 1 1 1 2 4 ]
10: [ 1 1 1 3 3 ]
11: [ 1 1 2 2 3 ]
12: [ 1 1 3 4 ]
13: [ 1 2 2 2 2 ]
14: [ 1 2 2 4 ]
15: [ 1 2 3 3 ]
16: [ 2 2 2 3 ]
17: [ 2 3 4 ]
18: [ 3 3 3 ]
19: [ 4 5 ]
20: [ 9 ]
CROSSREFS
Cf. A238859 (compositions with subdiagonal growth), A001227 (partitions into distinct parts with subdiagonal growth).
Cf. A238860 (partitions with superdiagonal growth), A238861 (compositions with superdiagonal growth), A000009 (partitions into distinct parts have superdiagonal growth by definition).
KEYWORD
nonn
AUTHOR
Joerg Arndt, Mar 24 2014
STATUS
approved