Number of 9-line partitions of n (i.e., planar partitions of n with at most 9 lines).

Terms

a(0) =1a(1) =1a(2) =3a(3) =6a(4) =13a(5) =24a(6) =48a(7) =86a(8) =160a(9) =282a(10) =499a(11) =856a(12) =1471a(13) =2466a(14) =4124a(15) =6788a(16) =11110a(17) =17965a(18) =28890a(19) =45995a(20) =72819a(21) =114354a(22) =178577a(23) =276952a(24) =427279a(25) =655199a(26) =999773a(27) =1517388a(28) =2292377a(29) =3446462