A325345 - OEIS

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A325345

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

4

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

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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