Number of 8-line partitions of n (i.e., planar partitions of n with at most 8 lines).

Terms

a(0) =1a(1) =1a(2) =3a(3) =6a(4) =13a(5) =24a(6) =48a(7) =86a(8) =160a(9) =281a(10) =497a(11) =851a(12) =1460a(13) =2442a(14) =4076a(15) =6692a(16) =10928a(17) =17623a(18) =28266a(19) =44873a(20) =70842a(21) =110910a(22) =172674a(23) =266942a(24) =410512a(25) =627387a(26) =954113a(27) =1443063a(28) =2172456a(29) =3254446