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%I #4 Apr 03 2017 20:31:38
%S 1,0,1,1,3,3,6,4,8,10,16,16,26,36,50,55,82,85,115,136,190,216,284,340,
%T 467,500,651,801,1066,1181,1516,1665,2187,2393,3050,3466,4482,5028,
%U 6340,6951,8895,9953,12458,13640,17241,19649,24385,26386,33078,36138,44569
%N Number of partitions of n such that the (sum of distinct odd parts) > n/2.
%e a(5) counts these 3 partitions: 5, 32, 311.
%t Table[p = IntegerPartitions[n];
%t Length[Select[Table[Total[Select[DeleteDuplicates[p[[k]]], OddQ]], {k, Length[p]}], # > n/2 &]], {n, 55}]
%Y Cf. A284612, A284613, A284615.
%K nonn,easy
%O 1,5
%A _Clark Kimberling_, Apr 02 2017