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

Terms

a(0) =0a(1) =0a(2) =1a(3) =1a(4) =1a(5) =2a(6) =3a(7) =3a(8) =4a(9) =5a(10) =7a(11) =9a(12) =11a(13) =14a(14) =17a(15) =21a(16) =24a(17) =33a(18) =37a(19) =47a(20) =56a(21) =67a(22) =79a(23) =100a(24) =109a(25) =137a(26) =161a(27) =189a(28) =217a(29) =272