A169675 Lexicographically earliest de Bruijn sequence for n = 3 and k = 2.

0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0

Offset

0,1

Comments

The lexicographically earliest de Bruijn sequence for n = 2 and k = 2 is 0011 repeated (see A021913).

Links

Table of n, a(n) for n=0..98.

Frank Ruskey, Generate Necklaces

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 1).

Example

Periodic with period 8, the period being 00010111.

Mathematica

LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1}, 99] (* Ray Chandler, Aug 25 2015 *)
PadRight[{}, 120, {0, 0, 0, 1, 0, 1, 1, 1}] (* Harvey P. Dale, Aug 01 2024 *)

Crossrefs

Cf. A021913, A080679, A169672, A169671, A169673, A169674.

Sequence in context: A151774 A095792 A288381 * A093385 A350866 A252743

Adjacent sequences: A169672 A169673 A169674 * A169676 A169677 A169678

Keyword

nonn

Author

N. J. A. Sloane, Apr 11 2010

Status

approved