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A326980
Indices of the compositions (ordered partitions) that are not in nonincreasing order in the list of compositions of j in colexicographic order, if 1 <= k <= 2^(j-1), j >= 1.
0
3, 5, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 20, 21, 23, 25, 26, 27, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 87, 89, 90, 91, 93, 94, 95, 97
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
Complement of A228354.
Sequence in context: A093373 A096849 A369361 * A281005 A080259 A067715
KEYWORD
nonn
AUTHOR
Omar E. Pol, Aug 21 2019
STATUS
approved