Number of compositions of n into floor(j/3) kinds of j's for all j>=1.

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =1a(5) =1a(6) =3a(7) =4a(8) =5a(9) =10a(10) =15a(11) =21a(12) =36a(13) =56a(14) =83a(15) =134a(16) =210a(17) =320a(18) =505a(19) =791a(20) =1221a(21) =1911a(22) =2988a(23) =4639a(24) =7240a(25) =11305a(26) =17595a(27) =27436a(28) =42806a(29) =66691