A238485 - OEIS

A238485

Number of partitions p of n not containing ceiling((min(p) + max(p))/2) as a part.

0, 0, 0, 1, 2, 4, 7, 11, 15, 25, 32, 45, 63, 84, 108, 150, 188, 247, 321, 407, 514, 666, 824, 1039, 1304, 1620, 2003, 2497, 3054, 3761, 4617, 5631, 6848, 8356, 10090, 12217, 14751, 17744, 21300, 25579, 30553, 36506, 43523, 51768, 61458, 72943, 86273, 101992

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OFFSET

1,5

LINKS

Table of n, a(n) for n=1..48.

FORMULA

a(n) + A238484(n) = A000041(n).

EXAMPLE

a(6) counts these partitions: 51, 42, 411, 3111.

MATHEMATICA

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

CROSSREFS