OFFSET
1,2
COMMENTS
For example, the partition (32111) has multiplicities {1,1,3}, of which 2 are distinct, so is counted under T(8,2).
LINKS
Alois P. Heinz, Rows n = 1..200, flattened
EXAMPLE
Triangle begins:
1
2
3
4 1
4 3
8 3
6 9
10 12
11 19
15 26 1
13 39 4
25 47 5
19 70 12
29 89 17
33 115 28
42 148 41
39 189 69
62 235 88
55 294 141
81 362 183 1
Row n = 8 counts the following partitions:
(8) (332)
(44) (422)
(53) (611)
(62) (3221)
(71) (4211)
(431) (5111)
(521) (22211)
(2222) (32111)
(3311) (41111)
(11111111) (221111)
(311111)
(2111111)
MATHEMATICA
DeleteCases[Table[Length[Select[IntegerPartitions[n], Length[Union[Length/@Split[#]]]==k&]], {n, 20}, {k, n}], 0, 2]
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Gus Wiseman, Apr 15 2019
STATUS
approved