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A011657 A binary m-sequence: expansion of reciprocal of x^3 + x + 1 (mod 2, shifted by 2 initial 0's). 2
0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Period 7.

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 (0,0,0,0,0,0,1).

FORMULA

G.f.: (x^6 + x^3 + x + 1)/(1-x^7), a(n+7) = a(n). - Ralf Stephan, Aug 05 2013

MATHEMATICA

Join[{0, 0}, Mod[CoefficientList[1/(x^3 + x + 1) + O[x]^80, x], 2]] (* Jean-Fran├žois Alcover, Feb 23 2018 *)

PROG

(PARI) A011657(n)=bittest(92, n%7) \\ M. F. Hasler, Feb 17 2018

CROSSREFS

Cf. A011655..A011751 for other binary m-sequences.

Sequence in context: A285159 A073089 A323158 * A072126 A287125 A234045

Adjacent sequences:  A011654 A011655 A011656 * A011658 A011659 A011660

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 17 16:51 EDT 2019. Contains 328120 sequences. (Running on oeis4.)