Number of planar partitions of n where parts strictly decrease along each row and column.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =4a(5) =6a(6) =10a(7) =15a(8) =22a(9) =33a(10) =49a(11) =70a(12) =102a(13) =146a(14) =205a(15) =290a(16) =405a(17) =561a(18) =779a(19) =1071a(20) =1463a(21) =1999a(22) =2714a(23) =3667a(24) =4946a(25) =6641a(26) =8880a(27) =11848a(28) =15753a(29) =20870