Number of partitions of n+5 with largest inscribed rectangle having area <= n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =1a(6) =13a(7) =18a(8) =43a(9) =69a(10) =115a(11) =140a(12) =243a(13) =302a(14) =402a(15) =539a(16) =726a(17) =896a(18) =1183a(19) =1458a(20) =1873a(21) =2356a(22) =2923a(23) =3572a(24) =4489a(25) =5514a(26) =6738a(27) =8231a(28) =10057a(29) =12164