Number of integer partitions of n containing their multiset of multiplicities (as a submultiset).

Terms

a(0) =1a(1) =1a(2) =0a(3) =0a(4) =2a(5) =1a(6) =2a(7) =1a(8) =3a(9) =3a(10) =8a(11) =7a(12) =10a(13) =13a(14) =17a(15) =19a(16) =28a(17) =35a(18) =38a(19) =51a(20) =67a(21) =81a(22) =100a(23) =128a(24) =157a(25) =195a(26) =233a(27) =285a(28) =348a(29) =427