Number of square multiset partitions of integer partitions of n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =11a(6) =20a(7) =36a(8) =65a(9) =117a(10) =214a(11) =382a(12) =679a(13) =1199a(14) =2095a(15) =3656a(16) =6321a(17) =10917a(18) =18721a(19) =32015a(20) =54385a(21) =92040a(22) =154882a(23) =259662a(24) =433263a(25) =720399a(26) =1193046a(27) =1969475a(28) =3239490a(29) =5312015