Number of partitions of n+9 with largest inscribed rectangle having area <= n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =1a(8) =18a(9) =47a(10) =124a(11) =150a(12) =403a(13) =477a(14) =684a(15) =986a(16) =1449a(17) =1719a(18) =2441a(19) =2906a(20) =3921a(21) =4978a(22) =6133a(23) =7310a(24) =9512a(25) =11604a(26) =14046a(27) =17058a(28) =20898a(29) =24906