Number of integer partitions of n with one fewer distinct multiplicities than distinct parts.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =1a(5) =2a(6) =3a(7) =4a(8) =7a(9) =12a(10) =16a(11) =21a(12) =33a(13) =38a(14) =50a(15) =75a(16) =87a(17) =111a(18) =150a(19) =185a(20) =244a(21) =307a(22) =373a(23) =461a(24) =585a(25) =702a(26) =856a(27) =1043a(28) =1255a(29) =1498