Number of compositions of n with strictly increasing first quotients.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =8a(6) =11a(7) =16a(8) =22a(9) =28a(10) =39a(11) =49a(12) =61a(13) =77a(14) =93a(15) =114a(16) =140a(17) =169a(18) =198a(19) =233a(20) =276a(21) =321a(22) =381a(23) =439a(24) =509a(25) =591a(26) =678a(27) =774a(28) =883a(29) =1007