Partitions into non-integral powers (see Comments for precise definition).

Terms

a(0) =1a(1) =3a(2) =8a(3) =18a(4) =37a(5) =72a(6) =136a(7) =251a(8) =445a(9) =770a(10) =1312a(11) =2202a(12) =3632a(13) =5908a(14) =9501a(15) =15111a(16) =23781a(17) =37083a(18) =57293a(19) =87813a(20) =133530a(21) =201574a(22) =302265a(23) =450317a(24) =666743a(25) =981488a(26) =1437003a(27) =2092976a(28) =3033253a(29) =4375104