Number of unimodal compositions of n+2 where the maximal part appears exactly twice.

Terms

a(0) =1a(1) =0a(2) =1a(3) =2a(4) =4a(5) =6a(6) =11a(7) =16a(8) =27a(9) =40a(10) =63a(11) =92a(12) =141a(13) =202a(14) =299a(15) =426a(16) =614a(17) =862a(18) =1222a(19) =1694a(20) =2362a(21) =3242a(22) =4456a(23) =6054a(24) =8229a(25) =11072a(26) =14891a(27) =19872a(28) =26477a(29) =35050