Number of partitions of n+8 with largest inscribed rectangle having area <= n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =1a(7) =4a(8) =27a(9) =59a(10) =132a(11) =158a(12) =371a(13) =443a(14) =619a(15) =871a(16) =1246a(17) =1493a(18) =2073a(19) =2485a(20) =3306a(21) =4175a(22) =5154a(23) =6177a(24) =7955a(25) =9703a(26) =11782a(27) =14312a(28) =17514a(29) =20942