Number of compositions of n where the largest part is larger than the number of parts.

Terms

a(0) =0a(1) =1a(2) =1a(3) =3a(4) =5a(5) =9a(6) =16a(7) =30a(8) =52a(9) =91a(10) =161a(11) =282a(12) =490a(13) =851a(14) =1471a(15) =2535a(16) =4361a(17) =7483a(18) =12800a(19) =21845a(20) =37210a(21) =63258a(22) =107329a(23) =181775a(24) =307341a(25) =518821a(26) =874492a(27) =1471869a(28) =2473969a(29) =4153018