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 A011742 A binary m-sequence: expansion of reciprocal of x^29 + x^2 + 1 (mod 2, shifted by 28 initial 0's). 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, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Periodic with period of length 2^29 - 1 = 536870911. - M. F. Hasler, Feb 17 2018 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. PROG (PARI) A=matrix(29, 29, i, j, if(i>1, i==j+1, setsearch([2, 29], j)>0))*Mod(1, 2); a(n)=lift((A^(n-28))[1, 1]) \\ M. F. Hasler, Feb 17 2018 CROSSREFS Cf. A011655, A011656, ..., A011745 for other binary m-sequences, and A011746..A011751 for similar expansions over GF(2). Sequence in context: A351539 A354926 A011743 * A011741 A369058 A277165 Adjacent sequences: A011739 A011740 A011741 * A011743 A011744 A011745 KEYWORD nonn AUTHOR N. J. A. Sloane EXTENSIONS Edited by M. F. Hasler, Feb 17 2018 STATUS approved

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Last modified July 19 19:50 EDT 2024. Contains 374436 sequences. (Running on oeis4.)