Number of integer compositions of n whose maximal runs R all satisfy length(R) < first(R).

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =1a(5) =3a(6) =4a(7) =6a(8) =10a(9) =14a(10) =24a(11) =36a(12) =58a(13) =90a(14) =140a(15) =220a(16) =342a(17) =538a(18) =840a(19) =1314a(20) =2059a(21) =3214a(22) =5035a(23) =7873a(24) =12315a(25) =19273a(26) =30141a(27) =47159a(28) =73772a(29) =115405