Number of integer partitions of n whose maximal anti-runs do not all have different maxima.

Terms

a(0) =0a(1) =0a(2) =1a(3) =1a(4) =2a(5) =3a(6) =6a(7) =7a(8) =12a(9) =16a(10) =25a(11) =33a(12) =48a(13) =63a(14) =88a(15) =116a(16) =157a(17) =204a(18) =272a(19) =349a(20) =456a(21) =581a(22) =749a(23) =946a(24) =1205a(25) =1511a(26) =1904a(27) =2371a(28) =2960a(29) =3661