Number of Carlitz compositions of n with exactly five descents.

Terms

a(0) =8a(1) =43a(2) =159a(3) =497a(4) =1365a(5) =3412a(6) =7959a(7) =17529a(8) =36820a(9) =74341a(10) =145037a(11) =274632a(12) =506546a(13) =912668a(14) =1610174a(15) =2787338a(16) =4742439a(17) =7942378a(18) =13109810a(19) =21351242a(20) =34344574a(21) =54611144a(22) =85907033a(23) =133783286a(24) =206382165a(25) =315561476a(26) =478474684a(27) =719778651a(28) =1074701635a(29) =1593288000