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A305148 Number of integer partitions of n whose distinct parts are pairwise indivisible. 24
1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 12, 12, 17, 20, 22, 28, 35, 39, 48, 55, 65, 79, 90, 105, 121, 143, 166, 190, 219, 254, 290, 332, 382, 436, 493, 567, 637, 729, 824, 931, 1052, 1186, 1334, 1504, 1691, 1894, 2123, 2380, 2664, 2968, 3319, 3704, 4119, 4586, 5110 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..300

EXAMPLE

The a(9) = 7 integer partitions are (9), (72), (54), (522), (333), (3222), (111111111).

MATHEMATICA

Table[Length[Select[IntegerPartitions[n], Select[Tuples[Union[#], 2], UnsameQ@@#&&Divisible@@#&]=={}&]], {n, 20}]

CROSSREFS

Cf. A000837, A001055, A001970, A007359, A007716, A051424, A078374, A100953, A285572, A285573, A302696, A303362, A305079, A305149, A305150.

Sequence in context: A052839 A125894 A091493 * A058724 A029021 A261770

Adjacent sequences:  A305145 A305146 A305147 * A305149 A305150 A305151

KEYWORD

nonn

AUTHOR

Gus Wiseman, May 26 2018

EXTENSIONS

More terms from Alois P. Heinz, May 26 2018

STATUS

approved

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Last modified February 20 15:52 EST 2020. Contains 332078 sequences. (Running on oeis4.)