Number of integer partitions of n whose distinct parts have non-integer median.

Terms

a(0) =0a(1) =0a(2) =1a(3) =1a(4) =4a(5) =3a(6) =8a(7) =6a(8) =13a(9) =11a(10) =21a(11) =17a(12) =34a(13) =36a(14) =55a(15) =61a(16) =97a(17) =115a(18) =162a(19) =191a(20) =270a(21) =328a(22) =427a(23) =514a(24) =666a(25) =810a(26) =1027a(27) =1211a(28) =1530a(29) =1832