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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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Table of n, a(n) for n=1..47. 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 Cf. A284616, A284618, A284619. Sequence in context: A213609 A338237 A039823 * A079972 A164144 A353007 Adjacent sequences: A284614 A284615 A284616 * A284618 A284619 A284620 KEYWORD nonn,easy AUTHOR Clark Kimberling, Apr 02 2017 STATUS approved

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Last modified September 28 07:41 EDT 2023. Contains 365724 sequences. (Running on oeis4.)