Number of partitions of n+7 with largest inscribed rectangle having area <= n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =4a(7) =8a(8) =35a(9) =67a(10) =132a(11) =158a(12) =330a(13) =399a(14) =547a(15) =755a(16) =1055a(17) =1276a(18) =1737a(19) =2103a(20) =2757a(21) =3476a(22) =4295a(23) =5184a(24) =6605a(25) =8079a(26) =9823a(27) =11956a(28) =14610a(29) =17544