login
Number of 4-ary Lyndon words of length n over GF(4) with trace 0 and subtrace 0.
5

%I #21 Jul 21 2021 17:45:50

%S 1,0,2,6,15,40,153,528,1841,6528,23901,87550,322875,1198080,4474738,

%T 16779264,63164175,238605640,904213989,3436000050,13089461538,

%U 49977753600,191219550297,733008101200,2814750270420,10825959997440,41699998413248,160842848628150,621186162441675

%N Number of 4-ary Lyndon words of length n over GF(4) with trace 0 and subtrace 0.

%H F. Ruskey, <a href="http://combos.org/TSlyndonF4">4-ary Lyndon words with given trace and subtrace over GF(4)</a>

%e a(3;0,0)=2 since the two 4-ary Lyndon words of trace 0, subtrace 0 and length 3 are { 123, 132 }.

%Y Cf. A074447, A074448, A074449, A074450.

%Y Cf. A054661, A073995, A073996, A073997, A073998, A073999.

%K nonn

%O 1,3

%A _Frank Ruskey_ and Nate Kube, Aug 23 2002

%E Terms a(16) and beyond from _Andrey Zabolotskiy_, Jul 21 2021