OFFSET
0,2
COMMENTS
First differs from the revlex (instead of colex) version for partitions of 12.
The zeroth row contains only the empty partition.
A tetrangle is a sequence of finite triangles.
LINKS
EXAMPLE
Tetrangle begins:
0: ()
1: (1)
2: (2)
3: (3)(12)
4: (4)(13)
5: (5)(23)(14)
6: (6)(24)(15)(123)
7: (7)(34)(25)(16)(124)
8: (8)(35)(26)(17)(134)(125)
9: (9)(45)(36)(27)(18)(234)(135)(126)
MATHEMATICA
Table[Reverse/@Sort[Select[IntegerPartitions[n], UnsameQ@@#&]], {n, 0, 30}]
CROSSREFS
Positions of first appearances are A015724 plus one.
Triangle sums are A066189.
Reversing all partitions gives A344090.
The non-strict version is A344091.
A319247 sorts strict partitions by Heinz number.
A329631 sorts reversed strict partitions by Heinz number.
Partition/composition orderings: A026791, A026792, A036036, A036037, A048793, A066099, A080577, A112798, A124734, A162247, A193073, A211992, A228100, A228351, A228531, A246688, A272020, A299755, A296774, A304038, A334301, A334302, A334439, A334442, A335122, A339351, A344085, A344086, A344087, A344088, A344089.
KEYWORD
nonn,tabf
AUTHOR
Gus Wiseman, May 12 2021
STATUS
approved