Triangular array read by rows. T(n,k) is the number of square lattice walks that start and end at the origin after 2n steps having k primitive loops; n>=1, 1<=k<=n.

A227997

Triangular array read by rows. T(n,k) is the number of square lattice walks that start and end at the origin after 2n steps having k primitive loops; n>=1, 1<=k<=n.

Terms

    a(0) =4a(1) =20a(2) =16a(3) =176a(4) =160a(5) =64a(6) =1876a(7) =1808a(8) =960a(9) =256a(10) =22064a(11) =22048a(12) =13248a(13) =5120a(14) =1024a(15) =275568a(16) =282528a(17) =182528a(18) =83456a(19) =25600a(20) =4096a(21) =3584064a(22) =3747456a(23) =2542464a(24) =1284096a(25) =481280a(26) =122880a(27) =16384a(28) =47995476a(29) =50981136

External references