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

Terms

a(0) =0a(1) =0a(2) =0a(3) =4a(4) =33a(5) =140a(6) =424a(7) =1039a(8) =2213a(9) =4262a(10) =7606a(11) =12786a(12) =20482a(13) =31532a(14) =46952a(15) =67957a(16) =95983a(17) =132710a(18) =180086a(19) =240352a(20) =316068a(21) =410140a(22) =525848a(23) =666875a(24) =837337a(25) =1041814a(26) =1285382a(27) =1573646a(28) =1912774a(29) =2309532