Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= n/3.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =4a(6) =5a(7) =6a(8) =18a(9) =21a(10) =24a(11) =76a(12) =90a(13) =105a(14) =325a(15) =385a(16) =450a(17) =1390a(18) =1651a(19) =1939a(20) =6027a(21) =7175a(22) =8456a(23) =26348a(24) =31416a(25) =37122a(26) =116010a(27) =138510a(28) =164025a(29) =513729