Number of strict integer compositions of n whose leaders of increasing runs are increasing.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =3a(6) =5a(7) =6a(8) =8a(9) =11a(10) =18a(11) =21a(12) =30a(13) =38a(14) =52a(15) =77a(16) =96a(17) =126a(18) =167a(19) =217a(20) =278a(21) =402a(22) =488a(23) =647a(24) =822a(25) =1073a(26) =1340a(27) =1747a(28) =2324a(29) =2890