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A344084
Concatenated list of all finite nonempty sets of positive integers sorted first by maximum, then by length, and finally lexicographically.
1
1, 2, 1, 2, 3, 1, 3, 2, 3, 1, 2, 3, 4, 1, 4, 2, 4, 3, 4, 1, 2, 4, 1, 3, 4, 2, 3, 4, 1, 2, 3, 4, 5, 1, 5, 2, 5, 3, 5, 4, 5, 1, 2, 5, 1, 3, 5, 1, 4, 5, 2, 3, 5, 2, 4, 5, 3, 4, 5, 1, 2, 3, 5, 1, 2, 4, 5, 1, 3, 4, 5, 2, 3, 4, 5, 1, 2, 3, 4, 5
OFFSET
1,2
EXAMPLE
The sets are the columns below:
1 2 1 3 1 2 1 4 1 2 3 1 1 2 1 5 1 2 3 4 1 1 1 2 2 3 1
2 3 3 2 4 4 4 2 3 3 2 5 5 5 5 2 3 4 3 4 4 2
3 4 4 4 3 5 5 5 5 5 5 3
4 5
As a tetrangle, the first four triangles are:
{1}
{2},{1,2}
{3},{1,3},{2,3},{1,2,3}
{4},{1,4},{2,4},{3,4},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4}
MATHEMATICA
SortBy[Rest[Subsets[Range[5]]], Last]
CROSSREFS
Triangle lengths are A000079.
Triangle sums are A001793.
Positions of first appearances are A005183.
Set maxima are A070939.
Set lengths are A124736.
Sequence in context: A082076 A231516 A048793 * A249783 A352964 A209278
KEYWORD
nonn,tabf
AUTHOR
Gus Wiseman, May 11 2021
STATUS
approved