Triangle read by rows: T(n,k) is the number of k-matchings in the P_3 X P_n lattice graph.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =7a(5) =11a(6) =3a(7) =1a(8) =12a(9) =44a(10) =56a(11) =18a(12) =1a(13) =17a(14) =102a(15) =267a(16) =302a(17) =123a(18) =11a(19) =1a(20) =22a(21) =185a(22) =758a(23) =1597a(24) =1670a(25) =757a(26) =106a(27) =1a(28) =27a(29) =293