OFFSET
1,5
LINKS
EXAMPLE
Triangle begins:
1
2 0
2 1 0
2 3 0 0
2 4 1 0 0
2 6 3 0 0 0
2 6 6 1 0 0 0
2 8 9 3 0 0 0 0
2 8 13 6 1 0 0 0 0
2 10 16 11 3 0 0 0 0 0
2 10 20 17 6 1 0 0 0 0 0
2 12 24 25 11 3 0 0 0 0 0 0
2 12 28 33 19 6 1 0 0 0 0 0 0
2 14 32 44 29 11 3 0 0 0 0 0 0 0
2 14 38 53 43 19 6 1 0 0 0 0 0 0 0
Row n = 9 counts the following partitions:
(9) (54) (333) (4221) (51111)
(111111111) (63) (432) (4311)
(72) (441) (5211)
(81) (522) (6111)
(22221) (531) (42111)
(222111) (621) (411111)
(2211111) (711)
(21111111) (3222)
(3321)
(32211)
(33111)
(321111)
(3111111)
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], Min[Length[#], Max[#]]==k&]], {n, 15}, {k, n}]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gus Wiseman, Apr 12 2019
STATUS
approved