A011662 A binary m-sequence: expansion of reciprocal of x^5 + x^2 + 1.

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

Offset

0,1

Comments

The auxiliary sequence with o.g.f. x^4/(1 + x^2 + x^5) can be obtained by deleting the first term in A088002 and flipping all signs. - R. J. Mathar, May 26 2008

Period 31: repeat 0,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1. - Ralf Stephan, Aug 05 2013

References

S. W. Golomb, Shift-Register Sequences, Holden-Day, San Francisco, 1967.

H. D. Lueke, Korrelationssignale, Springer 1992, pp. 43-48.

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier/North Holland, 1978, p. 408.

Links

Table of n, a(n) for n=0..80.

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

Mathematica

Join[Table[0, 4], Mod[CoefficientList[1/(x^5 + x^2 + 1) + O[x]^77, x], 2]] (* Jean-François Alcover, Feb 23 2018 *)

Crossrefs

Sequence in context: A171387 A355450 A333189 * A011665 A347411 A059437

Adjacent sequences: A011659 A011660 A011661 * A011663 A011664 A011665

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved