Number of gap-free compositions of n into distinct parts, cf. A107428.

Terms

a(0) =1a(1) =1a(2) =3a(3) =1a(4) =3a(5) =7a(6) =3a(7) =1a(8) =9a(9) =25a(10) =3a(11) =7a(12) =3a(13) =25a(14) =129a(15) =1a(16) =3a(17) =31a(18) =3a(19) =121a(20) =729a(21) =25a(22) =3a(23) =7a(24) =123a(25) =25a(26) =729a(27) =5041a(28) =3a(29) =151