OFFSET
0,4
EXAMPLE
The a(1) = 1 through a(8) = 16 partitions:
(1) (11) (21) (31) (41) (51) (61) (53)
(111) (211) (221) (321) (331) (71)
(1111) (311) (411) (421) (431)
(2111) (2211) (511) (521)
(11111) (3111) (2221) (611)
(21111) (3211) (3221)
(111111) (4111) (3311)
(22111) (4211)
(31111) (5111)
(211111) (22211)
(1111111) (32111)
(41111)
(221111)
(311111)
(2111111)
(11111111)
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], GCD@@Select[#, OddQ]==1&]], {n, 0, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Oct 28 2023
STATUS
approved