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A284617
Number of partitions of n such that the (sum of distinct even parts) <= n/2.
4
1, 1, 2, 4, 6, 8, 11, 17, 23, 29, 38, 63, 81, 102, 131, 186, 235, 293, 364, 503, 622, 762, 933, 1287, 1571, 1906, 2311, 3049, 3682, 4425, 5305, 6874, 8219, 9796, 11648, 14796, 17543, 20743, 24484, 31059, 36600, 43025, 50477, 62681, 73401, 85788, 100085
OFFSET
1,3
EXAMPLE
a(4) counts these 4 partitions: 31, 22, 211, 1111.
MATHEMATICA
Table[p = IntegerPartitions[n];
Length[Select[Table[Total[Select[DeleteDuplicates[p[[k]]], EvenQ]], {k,
Length[p]}], # <= n/2 &]], {n, 54}]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 02 2017
STATUS
approved