Difference between A000294 and the number of solid partitions of n (A000293).

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =1a(7) =3a(8) =8a(9) =19a(10) =40a(11) =83a(12) =176a(13) =365a(14) =775a(15) =1643a(16) =3483a(17) =7299a(18) =15170a(19) =31010a(20) =62563a(21) =124221a(22) =243296a(23) =469856a(24) =896491a(25) =1690475a(26) =3155551a(27) =5834871a(28) =10701036a(29) =19479021