Number of integer partitions of n where the parts have the same median as the distinct parts.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =4a(5) =4a(6) =8a(7) =6a(8) =11a(9) =13a(10) =19a(11) =19a(12) =35a(13) =33a(14) =48a(15) =66a(16) =78a(17) =88a(18) =124a(19) =138a(20) =183a(21) =219a(22) =252a(23) =306a(24) =388a(25) =450a(26) =527a(27) =643a(28) =780a(29) =903