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

Terms

a(0) =0a(1) =0a(2) =2a(3) =3a(4) =4a(5) =14a(6) =20a(7) =27a(8) =83a(9) =119a(10) =164a(11) =494a(12) =714a(13) =1000a(14) =3002a(15) =4367a(16) =6187a(17) =18563a(18) =27131a(19) =38759a(20) =116279a(21) =170543a(22) =245156a(23) =735470a(24) =1081574a(25) =1562274a(26) =4686824a(27) =6906899a(28) =10015004a(29) =30045014