OFFSET
0,6
COMMENTS
LINKS
Robert Price, Table of n, a(n) for n = 0..9295 (25 rows).
Wikiversity, Lexicographic and colexicographic order
EXAMPLE
Triangle begins:
0
1
1 1
1 2 1
1 1 2 2 1
1 2 2 2 2 2 1
1 1 2 2 1 3 2 2 2 2 1
1 2 2 2 2 2 3 2 2 3 2 2 2 2 1
1 1 2 2 2 2 2 3 3 2 1 3 2 3 2 2 3 2 2 2 2 1
MATHEMATICA
Join@@Table[Length/@Union/@Sort[IntegerPartitions[n]], {n, 0, 10}]
CROSSREFS
Row lengths are A000041.
The number of not necessarily distinct parts is A036043.
The version for reversed partitions is A103921.
Ignoring length (sum/lex) gives A103921 (also).
a(n) is the number of distinct elements in row n of A334301.
The maximum part of the same partition is A334441.
Lexicographically ordered reversed partitions are A026791.
Reversed partitions in Abramowitz-Stegun (sum/length/lex) order are A036036.
Partitions in increasing-length colex order (sum/length/colex) are A036037.
Graded reverse-lexicographically ordered partitions are A080577.
Partitions counted by sum and number of distinct parts are A116608.
Graded lexicographically ordered partitions are A193073.
Partitions in colexicographic order (sum/colex) are A211992.
Partitions in dual Abramowitz-Stegun (sum/length/revlex) order are A334439.
KEYWORD
nonn,tabf
AUTHOR
Gus Wiseman, May 05 2020
STATUS
approved