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%I #4 Apr 03 2017 20:32:09
%S 1,1,2,4,6,8,11,17,23,29,38,63,81,102,131,186,235,293,364,503,622,762,
%T 933,1287,1571,1906,2311,3049,3682,4425,5305,6874,8219,9796,11648,
%U 14796,17543,20743,24484,31059,36600,43025,50477,62681,73401,85788,100085
%N Number of partitions of n such that the (sum of distinct even parts) <= n/2.
%e a(4) counts these 4 partitions: 31, 22, 211, 1111.
%t Table[p = IntegerPartitions[n];
%t Length[Select[Table[Total[Select[DeleteDuplicates[p[[k]]], EvenQ]], {k,
%t Length[p]}], # <= n/2 &]], {n, 54}]
%Y Cf. A284616, A284618, A284619.
%K nonn,easy
%O 1,3
%A _Clark Kimberling_, Apr 02 2017