Number of partitions of n+4 with largest inscribed rectangle having area <= n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =1a(5) =3a(6) =16a(7) =21a(8) =43a(9) =65a(10) =101a(11) =125a(12) =202a(13) =253a(14) =336a(15) =444a(16) =591a(17) =736a(18) =964a(19) =1193a(20) =1529a(21) =1917a(22) =2390a(23) =2933a(24) =3678a(25) =4519a(26) =5548a(27) =6782a(28) =8303a(29) =10067