Number of integer compositions of n whose leaders of anti-runs are weakly decreasing.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =8a(5) =15a(6) =30a(7) =59a(8) =114a(9) =222a(10) =434a(11) =844a(12) =1641a(13) =3189a(14) =6192a(15) =12020a(16) =23320a(17) =45213a(18) =87624a(19) =169744a(20) =328684a(21) =636221a(22) =1231067a(23) =2381269a(24) =4604713a(25) =8901664