Number of compositions of n with weakly increasing first quotients.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =7a(5) =11a(6) =17a(7) =26a(8) =37a(9) =52a(10) =73a(11) =95a(12) =125a(13) =163a(14) =208a(15) =261a(16) =330a(17) =407a(18) =498a(19) =607a(20) =734a(21) =881a(22) =1056a(23) =1250a(24) =1480a(25) =1738a(26) =2029a(27) =2359a(28) =2742a(29) =3160