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A325344
Number of partitions of n with even minimal part and odd maximal part.
4
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.
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
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 23 2019
STATUS
approved