Number of partitions p of n such that median(p) < multiplicity(max(p)).

Terms

a(0) =0a(1) =0a(2) =1a(3) =1a(4) =1a(5) =1a(6) =3a(7) =3a(8) =4a(9) =5a(10) =6a(11) =8a(12) =11a(13) =14a(14) =18a(15) =24a(16) =27a(17) =35a(18) =41a(19) =52a(20) =65a(21) =79a(22) =96a(23) =122a(24) =145a(25) =177a(26) =213a(27) =256a(28) =307a(29) =368