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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 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-François 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 STATUS approved

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