a(n) = number of compositions of n in which the maximum part size is 4.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =1a(5) =2a(6) =5a(7) =12a(8) =27a(9) =59a(10) =127a(11) =269a(12) =563a(13) =1167a(14) =2400a(15) =4903a(16) =9960a(17) =20135a(18) =40534a(19) =81300a(20) =162538a(21) =324020a(22) =644282a(23) =1278152a(24) =2530407a(25) =5000178a(26) =9863763a(27) =19427976a(28) =38211861a(29) =75059535