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 A303139 Number of integer partitions of n with at least two but not all parts having a common divisor greater than 1. 10
 0, 0, 0, 0, 1, 1, 5, 6, 13, 17, 33, 37, 68, 82, 125, 159, 237, 278, 409, 491, 674, 830, 1121, 1329, 1781, 2144, 2770, 3345, 4299, 5086, 6507, 7752, 9687, 11571, 14378, 16985, 21039, 24876, 30379, 35924, 43734, 51320, 62238, 73068, 87747, 103021, 123347, 143955 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 LINKS EXAMPLE The a(7) = 5 partitions are (421), (331), (322), (2221), (22111). MATHEMATICA Table[Select[IntegerPartitions[n], !CoprimeQ@@#&&GCD@@#===1&]//Length, {n, 30}] CROSSREFS Cf. A000837, A018783, A051424, A078374, A168532, A289508, A289509, A298748, A300486, A302569, A302696, A302796, A303138, A303140. Sequence in context: A059176 A219978 A326657 * A322611 A030356 A138937 Adjacent sequences:  A303136 A303137 A303138 * A303140 A303141 A303142 KEYWORD nonn AUTHOR Gus Wiseman, Apr 19 2018 STATUS approved

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Last modified May 27 21:12 EDT 2020. Contains 334671 sequences. (Running on oeis4.)