Triangle lc(n,k): the number of purely line-connected k-partitions of [n], n>=4, 3<=k<n.

Terms

a(0) =1a(1) =6a(2) =2a(3) =24a(4) =20a(5) =3a(6) =81a(7) =128a(8) =45a(9) =4a(10) =250a(11) =672a(12) =417a(13) =84a(14) =5a(15) =732a(16) =3162a(17) =3090a(18) =1060a(19) =140a(20) =6a(21) =2073a(22) =13908a(23) =20136a(24) =10476a(25) =2305a(26) =216a(27) =7a(28) =5742a(29) =58520