OFFSET
1,1
EXAMPLE
--------------------------------------------------------------
. | Compositions of j
. |
k n a(n) | j = 1 2 3 4 5
--------------------------------------------------------------
.
1 1 1+1 1+1+1 1+1+1+1 1+1+1+1+1
2 2 2+1 2+1+1 2+1+1+1
3 1 3 1+2 1+2+1 1+2+1+1
4 3 3+1 3+1+1
5 2 5 1+1+2 1+1+2+1
6 2+2 2+2+1
7 3 7 1+3 1+3+1
8 4 4+1
9 4 9 1+1+1+2
10 5 10 2+1+2
11 6 11 1+2+2
12 3+2
13 7 13 1+1+3
14 8 14 2+3
15 9 15 1+4
16 5
...
Note that removing the compositions of j in colexicographic order whose indices are the terms of this sequence so we have the partitions of j in the same order.
CROSSREFS
KEYWORD
nonn
AUTHOR
Omar E. Pol, Aug 21 2019
STATUS
approved