Number of compositions of n whose run-lengths are weakly increasing.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =7a(5) =12a(6) =24a(7) =40a(8) =73a(9) =128a(10) =230a(11) =399a(12) =712a(13) =1241a(14) =2192a(15) =3833a(16) =6746a(17) =11792a(18) =20711a(19) =36230a(20) =63532a(21) =111163a(22) =194782a(23) =340859a(24) =596961a(25) =1044748a(26) =1829241a(27) =3201427a(28) =5604504a(29) =9808976