A325347 - OEIS

A325347

Number of partitions of n having an integer median.

108

1, 2, 2, 5, 5, 10, 11, 21, 23, 37, 45, 69, 83, 118, 145, 203, 250, 334, 415, 546, 673, 868, 1074, 1369, 1681, 2113, 2590, 3230, 3942, 4867, 5920, 7265, 8791, 10713, 12923, 15664, 18818, 22685, 27156, 32595, 38879, 46452, 55231, 65741, 77900, 92383, 109153

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OFFSET

1,2

COMMENTS

This sequence and A307683 partition the partition numbers, A000041.

LINKS

Fausto A. C. Cariboni, Table of n, a(n) for n = 1..180

EXAMPLE

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

MATHEMATICA

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

CROSSREFS