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 A318715 Number of strict integer partitions of n with relatively prime parts in which no two parts are relatively prime. 19
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 4, 0, 3, 0, 1, 0, 5, 0, 8, 0, 2, 0, 5, 0, 10, 0, 4, 0, 13, 0, 15, 0, 3, 1, 13, 0, 19, 0, 9, 1, 24, 0, 20 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,41 LINKS Fausto A. C. Cariboni, Table of n, a(n) for n = 1..500 EXAMPLE The a(67) = 10 strict integer partitions are   (45,12,10) (42,15,10) (40,15,12) (33,22,12) (28,21,18)   (36,15,10,6) (30,15,12,10) (28,21,12,6) (24,18,15,10)   (24,15,12,10,6). MATHEMATICA Table[Length[Select[IntegerPartitions[n], And[UnsameQ@@#, GCD@@#==1, And@@(GCD[##]>1&)@@@Select[Tuples[#, 2], Less@@#&]]&]], {n, 50}] CROSSREFS Cf. A007359, A051185, A078374, A303140, A303282, A303283, A305713, A305843, A305854, A318716, A318717, A318720. Sequence in context: A198255 A290542 A029834 * A202385 A029833 A050948 Adjacent sequences:  A318712 A318713 A318714 * A318716 A318717 A318718 KEYWORD nonn AUTHOR Gus Wiseman, Sep 02 2018 EXTENSIONS a(71)-a(85) from Robert Price, Sep 08 2018 STATUS approved

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Last modified May 19 23:13 EDT 2022. Contains 353847 sequences. (Running on oeis4.)