Number of singleton-free multiset partitions of integer partitions of n with no 1's.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =1a(5) =1a(6) =3a(7) =3a(8) =7a(9) =8a(10) =15a(11) =19a(12) =36a(13) =46a(14) =79a(15) =110a(16) =181a(17) =254a(18) =407a(19) =580a(20) =907a(21) =1309a(22) =2004a(23) =2909a(24) =4410a(25) =6407a(26) =9599a(27) =13984a(28) =20782a(29) =30252