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 A337452 Number of relatively prime strict integer partitions of n with no 1's. 12
 0, 0, 0, 0, 0, 1, 0, 2, 1, 3, 2, 6, 3, 9, 7, 11, 11, 20, 15, 28, 24, 35, 36, 55, 47, 73, 71, 95, 96, 136, 123, 180, 177, 226, 235, 305, 299, 403, 406, 503, 523, 668, 662, 852, 873, 1052, 1115, 1370, 1391, 1720, 1784, 2125, 2252, 2701, 2786, 3348, 3520, 4116 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 LINKS Fausto A. C. Cariboni, Table of n, a(n) for n = 0..300 EXAMPLE The a(5) = 1 through a(16) = 11 partitions (A = 10, B = 11, C = 12, D = 13):   32  43  53  54   73   65   75   76   95    87    97       52      72   532  74   543  85   B3    B4    B5               432       83   732  94   653   D2    D3                         92        A3   743   654   754                         542       B2   752   753   763                         632       643  932   762   853                                   652  5432  843   943                                   742        852   952                                   832        942   B32                                              A32   6532                                              6432  7432 MATHEMATICA Table[Length[Select[IntegerPartitions[n], UnsameQ@@#&&!MemberQ[#, 1]&&GCD@@#==1&]], {n, 0, 15}] CROSSREFS A078374 is the version allowing 1's. A302698 is the non-strict version. A332004 is the ordered version allowing 1's. A337450 is the ordered non-strict version. A337451 is the ordered version. A337485 is the pairwise coprime version. A000837 counts relatively prime partitions. A078374 counts relatively prime strict partitions. A002865 counts partitions with no 1's. A212804 counts compositions with no 1's. A291166 appears to rank relatively prime compositions. A337561 counts pairwise coprime strict compositions. Cf. A007359, A101268, A289509, A337485, A337563. Sequence in context: A098911 A052305 A165045 * A164768 A006208 A026805 Adjacent sequences:  A337449 A337450 A337451 * A337453 A337454 A337455 KEYWORD nonn AUTHOR Gus Wiseman, Aug 31 2020 STATUS approved

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Last modified April 11 14:58 EDT 2021. Contains 342886 sequences. (Running on oeis4.)