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

Terms

a(0) =1a(1) =2a(2) =2a(3) =4a(4) =3a(5) =8a(6) =7a(7) =16a(8) =17a(9) =31a(10) =35a(11) =60a(12) =67a(13) =99a(14) =121a(15) =170a(16) =200a(17) =270a(18) =328a(19) =436a(20) =522a(21) =674a(22) =828a(23) =1061a(24) =1292a(25) =1626a(26) =1983a(27) =2507a(28) =3035a(29) =3772