Number of 7-line partitions of n (i.e., planar partitions of n with at most 7 lines).

Terms

a(0) =1a(1) =1a(2) =3a(3) =6a(4) =13a(5) =24a(6) =48a(7) =86a(8) =159a(9) =279a(10) =492a(11) =840a(12) =1436a(13) =2394a(14) =3980a(15) =6510a(16) =10586a(17) =17001a(18) =27148a(19) =42908a(20) =67424a(21) =105067a(22) =162786a(23) =250427a(24) =383186a(25) =582663a(26) =881521a(27) =1326319a(28) =1986118a(29) =2959376