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 A326851 Number of strict integer partitions of n whose length and maximum both divide n. 8
 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 1, 1, 2, 3, 1, 5, 1, 6, 1, 1, 1, 16, 1, 1, 1, 12, 1, 33, 1, 15, 1, 1, 1, 60, 1, 1, 1, 51, 1, 81, 1, 31, 57, 1, 1, 216, 1, 55, 1, 45, 1, 230, 1, 223, 1, 1, 1, 800, 1, 1, 314, 273, 1, 607, 1, 81, 1, 315, 1, 2404, 1, 1, 319 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 LINKS EXAMPLE The a(6) = 2 through a(24) = 16 partitions (1 terms not shown):   6       12        15          16        18      20           24   3,2,1   6,4,2     5,4,3,2,1   8,4,3,1   9,5,4   10,5,3,2     12,7,5           6,5,1                 8,5,2,1   9,6,3   10,5,4,1     12,8,4           6,3,2,1                         9,7,2   10,6,3,1     12,9,3                                           9,8,1   10,7,2,1     12,10,2                                                   10,4,3,2,1   12,11,1                                                                8,7,5,4                                                                8,7,6,3                                                                12,5,4,3                                                                12,6,4,2                                                                12,6,5,1                                                                12,7,3,2                                                                12,7,4,1                                                                12,8,3,1                                                                12,9,2,1                                                                8,6,4,3,2,1 MATHEMATICA Table[If[n==0, 1, Length[Select[IntegerPartitions[n], UnsameQ@@#&&Divisible[n, Max[#]]&&Divisible[n, Length[#]]&]]], {n, 0, 30}] CROSSREFS The non-strict case is A326843. Cf. A018818, A047993, A067538, A326837, A326842, A326849, A326852. Sequence in context: A325403 A132068 A173441 * A129192 A062540 A173636 Adjacent sequences:  A326848 A326849 A326850 * A326852 A326853 A326854 KEYWORD nonn AUTHOR Gus Wiseman, Jul 26 2019 STATUS approved

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Last modified May 31 07:09 EDT 2020. Contains 334747 sequences. (Running on oeis4.)