Number of partitions p of n such that floor(mean(p)) or ceiling(mean(p)) is a part.

Terms

a(0) =0a(1) =1a(2) =2a(3) =3a(4) =4a(5) =6a(6) =8a(7) =12a(8) =16a(9) =22a(10) =31a(11) =44a(12) =50a(13) =78a(14) =102a(15) =125a(16) =163a(17) =230a(18) =271a(19) =379a(20) =441a(21) =575a(22) =760a(23) =978a(24) =1073a(25) =1457a(26) =1865a(27) =2250a(28) =2704a(29) =3544