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 A011656 A binary m-sequence: expansion of reciprocal of x^3 + x^2 + 1 (mod 2), shifted by 2 initial 0's. 10
 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 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^5 + x^4 + x^2)/(1-x^7). a(n+7) = a(n). - Ralf Stephan, Aug 05 2013 G.f.: x^2/(1 + x^2 + x^3) in GF(2). - M. F. Hasler, Feb 16 2018 MATHEMATICA PadLeft[ Mod[ CoefficientList[ Series[1/(1 + x^2 + x^3), {x, 0, 102}], x], 2], 105] (* Robert G. Wilson v *) PROG (PARI) A011656_vec(N)=concat([0, 0], Vec(lift(O(x^(N-1))+Mod(1, 2)/(1+x^2+x^3)))) A011656(n)=(n%7>3)||(n%7==2) \\ Faster than polcoeff(.../(1+x^2+x^3), n-2). - M. F. Hasler, Feb 17 2018 CROSSREFS Cf. A077962. Cf. A011655..A011751 for other binary m-sequences. Sequence in context: A164056 A163539 A143538 * A043545 A094754 A091225 Adjacent sequences:  A011653 A011654 A011655 * A011657 A011658 A011659 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified May 27 01:46 EDT 2018. Contains 304690 sequences. (Running on oeis4.)