OFFSET
1,5
EXAMPLE
Triangle begins:
1
1 1
1 2
1 4
1 6
1 9 1
1 12 2
1 16 5
1 20 9
1 25 16
1 30 25
1 36 39 1
1 42 56 2
1 49 80 5
1 56 109 10
For example, row n = 7 counts the following partitions:
(1111111) (7) (43)
(52) (331)
(61)
(322)
(421)
(511)
(2221)
(3211)
(4111)
(22111)
(31111)
(211111)
MATHEMATICA
partsabove[y_]:=Length[Select[Range[Length[y]], #<y[[#]]&]];
DeleteCases[Table[Length[Select[IntegerPartitions[n], partsabove[#]==k&]], {n, 1, 15}, {k, 0, n-1}], 0, 2]
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Gus Wiseman, May 21 2022
STATUS
approved