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A011736 A binary m-sequence: expansion of reciprocal of x^23 + x^5 + 1 (mod 2, shifted by 22 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, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Sequence is 2^23-1 = 8388607-periodic. - 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
FORMULA
G.f. = x^22/(x^23 + x^5 + 1), over GF(2). - M. F. Hasler, Feb 17 2018
PROG
(PARI) A=matrix(N=23, N, i, j, if(i>1, i==j+1, setsearch([5, N], j)>0))*Mod(1, 2); a(n)=lift((A^(n-#A+1))[1, 1]) \\ M. F. Hasler, Feb 17 2018
CROSSREFS
Cf. A011655..A011745 for other binary m-sequences, and A011746..A011751 for similar expansions over GF(2).
Sequence in context: A324870 A011738 A011737 * A085982 A011735 A355816
KEYWORD
nonn
AUTHOR
EXTENSIONS
Edited by M. F. Hasler, Feb 17 2018
STATUS
approved

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)