Number of ways to split a strict composition of n into contiguous subsequences with different sums.

Terms

a(0) =1a(1) =1a(2) =1a(3) =5a(4) =5a(5) =9a(6) =29a(7) =37a(8) =57a(9) =89a(10) =265a(11) =309a(12) =521a(13) =745a(14) =1129a(15) =3005a(16) =3545a(17) =5685a(18) =8201a(19) =12265a(20) =16629a(21) =41369a(22) =48109a(23) =77265a(24) =107645a(25) =160681a(26) =214861a(27) =316913a(28) =644837a(29) =798861