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A303140 Number of strict integer partitions of n with at least two but not all parts having a common divisor greater than 1. 14
0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 4, 2, 8, 7, 14, 14, 21, 18, 33, 32, 50, 54, 72, 67, 103, 110, 145, 155, 201, 196, 271, 293, 372, 400, 493, 512, 647, 704, 858, 924, 1115, 1167, 1436, 1560, 1854, 2022, 2368, 2510, 3005, 3255, 3804, 4144, 4792, 5116, 5989, 6514, 7486 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,9

LINKS

Table of n, a(n) for n=1..57.

EXAMPLE

The a(14) = 7 partitions are (932), (8321), (7421), (653), (6521), (6431), (5432).

MATHEMATICA

Table[Select[IntegerPartitions[n], UnsameQ@@#&&!CoprimeQ@@#&&GCD@@#===1&]//Length, {n, 20}]

CROSSREFS

Cf. A000837, A018783, A051424, A078374, A168532, A289508, A289509, A298748, A300486, A302569, A302696, A302796, A303138, A303139.

Sequence in context: A307313 A131999 A113416 * A103178 A173300 A181236

Adjacent sequences:  A303137 A303138 A303139 * A303141 A303142 A303143

KEYWORD

nonn

AUTHOR

Gus Wiseman, Apr 19 2018

STATUS

approved

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Last modified April 3 18:40 EDT 2020. Contains 333198 sequences. (Running on oeis4.)