Number of integer partitions of n with non-integer median of multiplicities.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =2a(5) =2a(6) =5a(7) =6a(8) =8a(9) =8a(10) =14a(11) =12a(12) =21a(13) =20a(14) =31a(15) =36a(16) =57a(17) =61a(18) =94a(19) =108a(20) =157a(21) =188a(22) =261a(23) =305a(24) =409a(25) =484a(26) =632a(27) =721a(28) =942a(29) =1083