OFFSET
0,4
COMMENTS
Includes all non-strict partitions.
EXAMPLE
The a(2) = 1 through a(8) = 20 partitions:
(11) (21) (22) (41) (33) (61) (44)
(111) (31) (221) (42) (322) (62)
(211) (311) (51) (331) (71)
(1111) (2111) (222) (421) (332)
(11111) (321) (511) (422)
(411) (2221) (431)
(2211) (3211) (521)
(3111) (4111) (611)
(21111) (22111) (2222)
(111111) (31111) (3221)
(211111) (3311)
(1111111) (4211)
(5111)
(22211)
(32111)
(41111)
(221111)
(311111)
(2111111)
(11111111)
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], MatchQ[#, {___, x_, y_, ___}/; Divisible[x, y]]&]], {n, 0, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Oct 15 2019
STATUS
approved