Number of integer partitions of n with fewer ones than greatest multiplicity.

Terms

a(0) =0a(1) =0a(2) =1a(3) =1a(4) =2a(5) =3a(6) =4a(7) =6a(8) =9a(9) =12a(10) =16a(11) =24a(12) =30a(13) =41a(14) =56a(15) =72a(16) =94a(17) =124a(18) =158a(19) =205a(20) =262a(21) =331a(22) =419a(23) =531a(24) =663a(25) =829a(26) =1033a(27) =1281a(28) =1581a(29) =1954