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A316440 Number of integer partitions of n such that every submultiset has an integer average. 4
1, 2, 2, 4, 2, 6, 2, 7, 5, 8, 2, 13, 2, 10, 10, 14, 2, 20, 2, 17, 15, 14, 2, 32, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..25.

EXAMPLE

The a(12) = 13 partitions:

(12),

(6,6), (7,5), (8,4), (9,3), (10,2), (11,1),

(4,4,4), (6,4,2), (8,2,2),

(3,3,3,3),

(2,2,2,2,2,2),

(1,1,1,1,1,1,1,1,1,1,1,1).

MATHEMATICA

Table[Length[Select[IntegerPartitions[n], And@@IntegerQ/@Mean/@Union[Rest[Subsets[#]]]&]], {n, 20}]

CROSSREFS

Cf. A067538, A074761, A122768, A143773, A237984, A298423, A316313, A316314.

Sequence in context: A121599 A080221 A137849 * A118982 A129457 A275365

Adjacent sequences:  A316437 A316438 A316439 * A316441 A316442 A316443

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, Jul 03 2018

STATUS

approved

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Last modified September 23 16:17 EDT 2020. Contains 337314 sequences. (Running on oeis4.)