OFFSET
0,3
COMMENTS
The maximal square contained in the Young diagram of an integer partition is called its Durfee square, and its length is the rank of the partition.
LINKS
Giovanni Resta, Table of n, a(n) for n = 0..150
EXAMPLE
The a(2) = 2 through a(15) = 1 partitions:
(2) (21) (32) (33) (322) (332) (433) (443) (444) (4333) (4433) (4443)
(11) (221) (222) (331) (3331) (3332) (3333) (4432) (4442)
(321) (4331) (4332) (4441)
(4431)
MATHEMATICA
durf[ptn_]:=Length[Select[Range[Length[ptn]], ptn[[#]]>=#&]];
codurf[ptn_]:=Max[Length[ptn], Max[ptn]];
Table[Length[Select[IntegerPartitions[n], codurf[#]-durf[#]==1&]], {n, 0, 30}]
CROSSREFS
KEYWORD
nonn,look
AUTHOR
Gus Wiseman, Apr 08 2019
EXTENSIONS
More terms from Giovanni Resta, Apr 15 2019
STATUS
approved