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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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Table of n, a(n) for n=0..65. 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 Row sums of A319000. Cf. A001055, A002865, A069016, A096276, A301987, A318950, A319005, A319057. Sequence in context: A129646 A277640 A165401 * A213074 A140966 A058036 Adjacent sequences: A319913 A319914 A319915 * A319917 A319918 A319919 KEYWORD nonn AUTHOR Gus Wiseman, Oct 22 2018 STATUS approved

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Last modified September 29 02:13 EDT 2023. Contains 365746 sequences. (Running on oeis4.)