Number of integer partitions of n such that for some part k the multiplicity of k exceeds k.

Terms

a(0) =0a(1) =0a(2) =1a(3) =1a(4) =2a(5) =3a(6) =6a(7) =8a(8) =12a(9) =17a(10) =25a(11) =34a(12) =49a(13) =65a(14) =89a(15) =118a(16) =158a(17) =206a(18) =271a(19) =349a(20) =454a(21) =579a(22) =741a(23) =937a(24) =1188a(25) =1489a(26) =1869a(27) =2327a(28) =2897a(29) =3581