Number of partitions p of n such that neither floor(mean(p)) nor ceiling(mean(p)) is a part.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =1a(5) =1a(6) =3a(7) =3a(8) =6a(9) =8a(10) =11a(11) =12a(12) =27a(13) =23a(14) =33a(15) =51a(16) =68a(17) =67a(18) =114a(19) =111a(20) =186a(21) =217a(22) =242a(23) =277a(24) =502a(25) =501a(26) =571a(27) =760a(28) =1014a(29) =1021