Number of twice-partitions of n into partitions of distinct lengths and distinct sums.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =7a(5) =15a(6) =25a(7) =49a(8) =79a(9) =154a(10) =248a(11) =453a(12) =748a(13) =1305a(14) =2125a(15) =3702a(16) =5931a(17) =9990a(18) =16415a(19) =26844a(20) =43246a(21) =70947a(22) =113653a(23) =182314a(24) =292897a(25) =464614a(26) =739640a(27) =1169981a(28) =1844511a(29) =2888427