Number of gap-free but not complete compositions of n.

Terms

a(0) =0a(1) =1a(2) =1a(3) =2a(4) =3a(5) =3a(6) =6a(7) =6a(8) =14a(9) =12a(10) =27a(11) =33a(12) =58a(13) =86a(14) =134a(15) =210a(16) =323a(17) =539a(18) =810a(19) =1371a(20) =2044a(21) =3510a(22) =5263a(23) =8927a(24) =13702a(25) =22870a(26) =35821a(27) =58750a(28) =93343a(29) =152236