Number of 6-line partitions of n (i.e., planar partitions of n with at most 6 lines).

Terms

a(0) =1a(1) =1a(2) =3a(3) =6a(4) =13a(5) =24a(6) =48a(7) =85a(8) =157a(9) =274a(10) =481a(11) =816a(12) =1388a(13) =2298a(14) =3798a(15) =6170a(16) =9968a(17) =15895a(18) =25209a(19) =39550a(20) =61703a(21) =95431a(22) =146757a(23) =224036a(24) =340189a(25) =513233a(26) =770415a(27) =1149933a(28) =1708277a(29) =2524846