Number of partitions of n+2 with largest inscribed rectangle having area <= n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =5a(5) =7a(6) =16a(7) =21a(8) =34a(9) =48a(10) =69a(11) =89a(12) =129a(13) =166a(14) =220a(15) =287a(16) =377a(17) =478a(18) =619a(19) =778a(20) =992a(21) =1247a(22) =1565a(23) =1941a(24) =2428a(25) =3000a(26) =3706a(27) =4553a(28) =5594a(29) =6826