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A316399 Number of strict integer partitions of n such that not every subset has a different average. 3
0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 5, 3, 5, 9, 10, 10, 20, 20, 27, 32, 39, 43, 69, 65, 83, 99, 133, 136, 176, 191, 252, 274, 332, 363, 475, 503, 602, 677, 832, 893, 1067, 1186, 1418, 1561, 1797, 2000, 2384, 2602, 2992, 3315, 3853, 4226, 4826, 5383, 6121, 6763 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,9

LINKS

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

FORMULA

a(n) = A000009(n) - A316313(n).

EXAMPLE

The a(12) = 5 partitions are (5,4,3), (6,4,2), (7,4,1), (5,4,2,1), (6,3,2,1).

MATHEMATICA

Table[Length[Select[IntegerPartitions[n], UnsameQ@@#&&!UnsameQ@@Mean/@Union[Subsets[#]]&]], {n, 60}]

CROSSREFS

Cf. A000009, A108917, A275972, A276024, A284640, A299702, A301899, A301900, A316271, A316313, A316314, A316400, A316402.

Sequence in context: A182930 A232187 A076241 * A139347 A288620 A263324

Adjacent sequences:  A316396 A316397 A316398 * A316400 A316401 A316402

KEYWORD

nonn

AUTHOR

Gus Wiseman, Jul 01 2018

STATUS

approved

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Last modified February 27 13:18 EST 2020. Contains 332306 sequences. (Running on oeis4.)