OFFSET
0,3
LINKS
Jonathan Bloom, Nathan McNew, Counting pattern-avoiding integer partitions, arXiv:1908.03953 [math.CO], 2019.
FORMULA
a(n > 1) = A002541(n - 1) + 1.
EXAMPLE
The integer partitions whose non-1 parts are all equal:
(1) (2) (3) (4) (5) (6) (7) (8)
(11) (21) (22) (41) (33) (61) (44)
(111) (31) (221) (51) (331) (71)
(211) (311) (222) (511) (611)
(1111) (2111) (411) (2221) (2222)
(11111) (2211) (4111) (3311)
(3111) (22111) (5111)
(21111) (31111) (22211)
(111111) (211111) (41111)
(1111111) (221111)
(311111)
(2111111)
(11111111)
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], SameQ@@DeleteCases[#, 1]&]], {n, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Oct 07 2018
STATUS
approved