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

Terms

a(0) =0a(1) =1a(2) =6a(3) =16a(4) =33a(5) =58a(6) =92a(7) =136a(8) =191a(9) =258a(10) =338a(11) =432a(12) =541a(13) =666a(14) =808a(15) =968a(16) =1147a(17) =1346a(18) =1566a(19) =1808a(20) =2073a(21) =2362a(22) =2676a(23) =3016a(24) =3383a(25) =3778a(26) =4202a(27) =4656a(28) =5141a(29) =5658