A074448 Number of 4-ary Lyndon words of length n over GF(4) with trace 1 and subtrace 0.

1, 1, 1, 4, 15, 45, 144, 512, 1841, 6579, 23808, 87380, 322875, 1198665, 4473647, 16777216, 63164175, 238612920, 904200192, 3435973836, 13089461538, 49977848925, 191219367936, 733007751680, 2814750270420, 10825961287995, 41699995927744, 160842843834660, 621186162441675

Offset

1,4

Comments

Let x = RootOf(z^2 + z + 1) and y = 1 + x. Also the number of 4-ary Lyndon words of length n over GF(4) with trace x and subtrace 0. Also the number of 4-ary Lyndon words of length n over GF(4) with trace y and subtrace 0.

Links

Table of n, a(n) for n=1..29.

F. Ruskey, 4-ary Lyndon words with given trace and subtrace over GF(4)

Crossrefs

Cf. A074446, A074447, A074449, A074450.

Cf. A054660, A073995, A073996, A073997, A073998, A073999.

Sequence in context: A321880 A075673 A062827 * A297088 A152116 A195688

Adjacent sequences: A074445 A074446 A074447 * A074449 A074450 A074451

Keyword

nonn

Author

Frank Ruskey and Nate Kube, Aug 23 2002

Extensions

Terms a(16) and beyond from Andrey Zabolotskiy, Jul 21 2021

Status

approved