Triangular array T(n,k) giving number of alternating link diagrams with n >= 0 crossings, k = 0..[n/2] connected components and two external legs.

A062038

Triangular array T(n,k) giving number of alternating link diagrams with n >= 0 crossings, k = 0..[n/2] connected components and two external legs.

Terms

    a(0) =1a(1) =2a(2) =8a(3) =1a(4) =42a(5) =12a(6) =260a(7) =114a(8) =4a(9) =1796a(10) =1030a(11) =90a(12) =13396a(13) =9290a(14) =1349a(15) =22a(16) =105706a(17) =84840a(18) =17220a(19) =728a(20) =870772a(21) =787082a(22) =203568a(23) =14884a(24) =140a(25) =7420836a(26) =7415814a(27) =2312094a(28) =244908a(29) =6120

External references