Number of compositions of n with strictly increasing run-lengths.

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =4a(5) =5a(6) =7a(7) =10a(8) =14a(9) =16a(10) =24a(11) =31a(12) =37a(13) =51a(14) =67a(15) =76a(16) =103a(17) =129a(18) =158a(19) =199a(20) =242a(21) =293a(22) =370a(23) =450a(24) =538a(25) =652a(26) =799a(27) =953a(28) =1147a(29) =1376