Number of peak-avoiding compositions with positive parts.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =7a(5) =13a(6) =22a(7) =38a(8) =64a(9) =107a(10) =177a(11) =293a(12) =481a(13) =789a(14) =1291a(15) =2110a(16) =3445a(17) =5621a(18) =9167a(19) =14947a(20) =24366a(21) =39716a(22) =64732a(23) =105500a(24) =171941a(25) =280220a(26) =456687a(27) =744280a(28) =1212984a(29) =1976850