OFFSET
1,6
COMMENTS
Conjecture: Positions of strictly positive rows are given by A048166.
EXAMPLE
Triangle begins:
1
1 1
1 0 2
1 1 1 2
1 0 2 0 4
1 1 3 0 1 5
1 0 3 0 3 0 8
1 1 3 2 2 1 2 10
1 0 5 0 3 0 5 0 16
1 1 4 0 6 2 4 2 2 20
1 0 5 0 5 0 8 0 6 0 31
1 1 6 2 3 6 6 1 4 4 4 39
1 0 6 0 6 0 12 0 8 0 13 0 55
1 1 6 0 6 3 16 3 5 3 7 8 5 71
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], Length[Union[Total/@Rest[Subsets[#]]]]==k&]], {n, 10}, {k, n}]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gus Wiseman, Sep 16 2023
STATUS
approved