Number of partitions of n+6 with largest inscribed rectangle having area <= n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =8a(7) =13a(8) =41a(9) =71a(10) =126a(11) =152a(12) =288a(13) =352a(14) =475a(15) =644a(16) =882a(17) =1077a(18) =1444a(19) =1759a(20) =2286a(21) =2871a(22) =3558a(23) =4317a(24) =5466a(25) =6686a(26) =8161a(27) =9939a(28) =12150a(29) =14632