Number of integer compositions of n whose leaders of maximal strictly increasing runs sum to 2.

Terms

a(0) =0a(1) =0a(2) =2a(3) =0a(4) =2a(5) =3a(6) =4a(7) =7a(8) =8a(9) =14a(10) =17a(11) =27a(12) =33a(13) =48a(14) =63a(15) =84a(16) =112a(17) =147a(18) =191a(19) =248a(20) =322a(21) =409a(22) =527a(23) =666a(24) =845a(25) =1062a(26) =1336a(27) =1666a(28) =2079a(29) =2579