Fifth Lie-Betti number of a path graph on n vertices.

Terms

a(0) =0a(1) =0a(2) =1a(3) =11a(4) =48a(5) =140a(6) =329a(7) =668a(8) =1223a(9) =2074a(10) =3316a(11) =5060a(12) =7434a(13) =10584a(14) =14675a(15) =19892a(16) =26441a(17) =34550a(18) =44470a(19) =56476a(20) =70868a(21) =87972a(22) =108141a(23) =131756a(24) =159227a(25) =190994a(26) =227528a(27) =269332a(28) =316942a(29) =370928