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A325348 Number of partitions of n having an non-integer median. 3
0, 0, 1, 0, 2, 1, 4, 1, 7, 5, 11, 8, 18, 17, 31, 28, 47, 51, 75, 81, 119, 134, 181, 206, 277, 323, 420, 488, 623, 737, 922, 1084, 1352, 1597, 1960, 2313, 2819, 3330, 4029, 4743, 5704, 6722, 8030, 9434, 11234, 13175, 15601, 18262, 21552, 25184 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

The sequences A325347 and A325348 partition the partition numbers, A000041.

LINKS

Table of n, a(n) for n=1..50.

EXAMPLE

a(5) counts these 2 partitions: [4,1], [3,2].

MATHEMATICA

Table[Count[IntegerPartitions[n], q_ /; !IntegerQ[Median[q]]], {n, 10}]

CROSSREFS

Cf. A000041, A307683, A325348.

Sequence in context: A115124 A115122 A097360 * A307683 A248058 A072345

Adjacent sequences:  A325345 A325346 A325347 * A325349 A325350 A325351

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 24 2019

STATUS

approved

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Last modified June 1 02:09 EDT 2020. Contains 334758 sequences. (Running on oeis4.)