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

Terms

a(0) =0a(1) =1a(2) =1a(3) =1a(4) =3a(5) =4a(6) =6a(7) =7a(8) =11a(9) =14a(10) =19a(11) =26a(12) =35a(13) =44a(14) =59a(15) =74a(16) =97a(17) =120a(18) =158a(19) =192a(20) =247a(21) =304a(22) =383a(23) =470a(24) =587a(25) =714a(26) =885a(27) =1074a(28) =1317a(29) =1593