Total area of the largest inscribed rectangles of all integer partitions of n.

Terms

a(0) =0a(1) =1a(2) =4a(3) =8a(4) =18a(5) =29a(6) =54a(7) =82a(8) =136a(9) =202a(10) =309a(11) =441a(12) =658a(13) =915a(14) =1303a(15) =1790a(16) =2479a(17) =3337a(18) =4541a(19) =6022a(20) =8045a(21) =10554a(22) =13876a(23) =17996a(24) =23409a(25) =30055a(26) =38634a(27) =49208a(28) =62650a(29) =79116