A325345 Number of partitions of n with odd minimal part and even maximal part.

0, 0, 0, 0, 1, 0, 2, 1, 4, 2, 7, 4, 12, 9, 18, 15, 30, 26, 46, 43, 70, 70, 106, 108, 159, 169, 235, 253, 346, 379, 502, 558, 725, 815, 1037, 1171, 1475, 1678, 2080, 2372, 2917, 3338, 4062, 4657, 5624, 6459, 7743, 8892, 10603, 12186

Offset

1,7

Comments

The four sequences A325338, A325344, A325345, A325346 partition the partition numbers, A000041.

Links

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

Example

a(7) counts these 2 partitions:  [5,2], [3,2,2]

Mathematica

Table[Count[IntegerPartitions[n], q_ /; OddQ[Max[q]] && EvenQ[Min[q]]], {n, 30}]

Crossrefs

Cf. A000041, A325338, A325344, A325346.

Sequence in context: A008796 A254594 A280948 * A079966 A101707 A304587

Adjacent sequences: A325342 A325343 A325344 * A325346 A325347 A325348

Keyword

nonn,easy

Author

Clark Kimberling, Apr 23 2019

Status

approved