A238484 - OEIS

A238484

Number of partitions p of n containing ceiling((min(p) + max(p))/2) as a part.

1, 2, 3, 4, 5, 7, 8, 11, 15, 17, 24, 32, 38, 51, 68, 81, 109, 138, 169, 220, 278, 336, 431, 536, 654, 816, 1007, 1221, 1511, 1843, 2225, 2718, 3295, 3954, 4793, 5760, 6886, 8271, 9885, 11759, 14030, 16668, 19738, 23407, 27676, 32615, 38481, 45281, 53153

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..49.

FORMULA

a(n) + A238485(n) = A000041(n).

EXAMPLE

a(6) counts these partitions: 6, 33, 321, 222, 2211, 21111, 111111.

MATHEMATICA

Table[Count[IntegerPartitions[n], p_ /; MemberQ[p, Ceiling[(Min[p] + Max[p])/2]]], {n, 30}]

CROSSREFS