Number of integer partitions of n such that (length) * (maximum) < 2n.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =7a(5) =9a(6) =12a(7) =17a(8) =21a(9) =27a(10) =37a(11) =41a(12) =58a(13) =67a(14) =80a(15) =106a(16) =126a(17) =153a(18) =193a(19) =209a(20) =263a(21) =326a(22) =402a(23) =419a(24) =565a(25) =650a(26) =694a(27) =891a(28) =1088a(29) =1120