Number of compositions of n whose non-adjacent parts are strictly decreasing.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =7a(6) =11a(7) =15a(8) =21a(9) =29a(10) =40a(11) =53a(12) =71a(13) =93a(14) =122a(15) =158a(16) =204a(17) =260a(18) =332a(19) =419a(20) =528a(21) =661a(22) =825a(23) =1023a(24) =1267a(25) =1560a(26) =1916a(27) =2344a(28) =2860a(29) =3476