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A325346
Number of partitions of n with even minimal and maximal parts.
4
0, 1, 0, 2, 0, 3, 0, 5, 1, 7, 2, 12, 5, 17, 10, 27, 18, 40, 31, 62, 52, 90, 83, 137, 131, 199, 201, 294, 304, 425, 452, 616, 665, 878, 967, 1254, 1390, 1767, 1980, 2486, 2799, 3464, 3924, 4811, 5463, 6629, 7555, 9103, 10384, 12418
OFFSET
1,4
COMMENTS
The four sequences A325338, A325344, A325345, A325346 partition the partition numbers, A000041.
EXAMPLE
a(6) counts these 3 partitions: [6], [4,2], [2,2,2].
MATHEMATICA
Table[Count[IntegerPartitions[n], q_ /; EvenQ[Max[q]] && EvenQ[Min[q]]], {n, 30}]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 23 2019
STATUS
approved