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A319916
Number of integer partitions of any number from 1 to n whose product of parts is n.
7
0, 1, 1, 1, 2, 1, 3, 1, 7, 5, 5, 1, 18, 1, 7, 9, 35, 1, 30, 1, 34, 13, 11, 1, 88, 17, 13, 36, 50, 1, 74, 1, 127, 21, 17, 25, 193, 1, 19, 25, 162, 1, 108, 1, 82, 96, 23, 1, 379, 37, 100, 33, 98, 1, 229, 41, 236, 37, 29, 1, 433, 1, 31, 140, 485, 49
OFFSET
0,5
EXAMPLE
The sequence of integer partitions begins:
(1) (2) (3) (4) (5) (6) (7) (8) (9)
(22) (32) (42) (33)
(321) (222) (331)
(421) (3311)
(2221) (33111)
(4211)
(22211)
MATHEMATICA
Table[Length[Select[Array[IntegerPartitions, n, 1, Join], Times@@#==n&]], {n, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Oct 22 2018
STATUS
approved