Number of compositions of n with strictly decreasing first quotients.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =8a(6) =12a(7) =15a(8) =21a(9) =30a(10) =39a(11) =50a(12) =65a(13) =82a(14) =103a(15) =129a(16) =160a(17) =196a(18) =240a(19) =293a(20) =352a(21) =422a(22) =500a(23) =593a(24) =706a(25) =832a(26) =974a(27) =1138a(28) =1324a(29) =1534