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A238542

Number of partitions p of n such that 2*min(p) + (number of parts of p) is not a part of p.

1, 2, 3, 5, 6, 11, 14, 20, 28, 40, 50, 72, 93, 124, 161, 213, 270, 355, 447, 573, 723, 919, 1142, 1441, 1786, 2225, 2745, 3398, 4160, 5121, 6240, 7623, 9255, 11246, 13577, 16423, 19753, 23767, 28478, 34125, 40723, 48614, 57815, 68740, 81496, 96568, 114103

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..47.

FORMULA

a(n) + A097091(n) = A000041(n).

EXAMPLE

a(8) counts all the 22 partitions of 8 except 62 and 521.

MATHEMATICA

Table[Count[IntegerPartitions[n], p_ /; ! MemberQ[p, Length[p] + 2*Min[p]]], {n, 50}]

CROSSREFS