Number of integer compositions n that are the first sums of a unique nonnegative sequence.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =2a(5) =7a(6) =14a(7) =35a(8) =68a(9) =149a(10) =282a(11) =577a(12) =1070a(13) =2101a(14) =3836a(15) =7331a(16) =13226a(17) =24803a(18) =44334a(19) =82003a(20) =145508a(21) =266365a(22) =469898a(23) =853337a(24) =1498334a(25) =2703917a(26) =4729596a(27) =8492299a(28) =14808026a(29) =26480779