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 A318717 Number of strict integer partitions of n in which no two parts are relatively prime. 27
 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 1, 5, 1, 5, 4, 6, 1, 10, 1, 11, 6, 12, 1, 19, 3, 18, 8, 23, 1, 36, 2, 32, 13, 38, 7, 57, 2, 54, 19, 68, 3, 95, 3, 90, 33, 104, 3, 148, 7, 149, 40, 166, 5, 230, 17, 226, 56, 256, 6, 360, 9, 340, 84, 390, 25, 527, 11, 513, 109 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 LINKS Fausto A. C. Cariboni, Table of n, a(n) for n = 0..600 EXAMPLE The a(20) = 11 partitions:   (20),   (12,8), (14,6), (15,5), (16,4), (18,2),   (10,6,4), (10,8,2), (12,6,2), (14,4,2),   (8,6,4,2). MATHEMATICA Table[Length[Select[IntegerPartitions[n], And[UnsameQ@@#, And@@(GCD[##]>1&)@@@Select[Tuples[#, 2], Less@@#&]]&]], {n, 30}] CROSSREFS Cf. A000009, A007359, A007360, A051185, A302569, A302797, A303140, A303280, A303283, A305713, A305843, A305854, A305713, A318715, A318719. Sequence in context: A070104 A131085 A303280 * A331887 A328220 A134192 Adjacent sequences:  A318714 A318715 A318716 * A318718 A318719 A318720 KEYWORD nonn AUTHOR Gus Wiseman, Sep 02 2018 EXTENSIONS a(51)-a(69) from Alois P. Heinz, Sep 02 2018 STATUS approved

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Last modified May 24 21:58 EDT 2022. Contains 354043 sequences. (Running on oeis4.)