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A074449 Number of 4-ary Lyndon words of length n over GF(4) with trace 1 and subtrace 1. 4
0, 1, 2, 4, 12, 45, 153, 512, 1813, 6579, 23901, 87380, 322560, 1198665, 4474738 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

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 y. Also the number of 4-ary Lyndon words of length n over GF(4) with trace y and subtrace x.

LINKS

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

EXAMPLE

Let x = RootOf( z^2+z+1 ) and y = 1+x. a(2; y,x)=1 since the one 4-ary Lyndon word of trace y, subtrace x and length 2 is ( 1x }.

CROSSREFS

Cf. A074446, A074447, A074448, A074450.

Sequence in context: A180205 A131529 A165901 * A131387 A152453 A172452

Adjacent sequences:  A074446 A074447 A074448 * A074450 A074451 A074452

KEYWORD

easy,nonn

AUTHOR

Frank Ruskey, Nate Kube (ruskey(AT)cs.uvic.ca), Aug 23 2002

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Last modified February 14 17:27 EST 2012. Contains 205644 sequences.