A325344 Number of partitions of n with even minimal part and odd maximal part.

0, 0, 1, 1, 3, 3, 7, 7, 13, 15, 25, 28, 44, 52, 76, 91, 128, 155, 211, 255, 340, 415, 540, 656, 842, 1025, 1297, 1573, 1970, 2386, 2959, 3570, 4394, 5290, 6460, 7751, 9411, 11259, 13592, 16206, 19468, 23149, 27678, 32808, 39070, 46186, 54783, 64577, 76332

Offset

1,5

Comments

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

Links

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

Example

a(5) counts these 3 partitions:  [4,1], [2,2,1], [2,1,1,1].

Mathematica

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

Crossrefs

Cf. A000041, A325338, A325345, A325346.

Sequence in context: A128498 A146906 A147449 * A208474 A363979 A187781

Adjacent sequences: A325341 A325342 A325343 * A325345 A325346 A325347

Keyword

nonn,easy

Author

Clark Kimberling, Apr 23 2019

Status

approved