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A011727 A binary m-sequence: expansion of reciprocal of x^14 + x^12 + x^11 + x + 1 (mod 2, shifted by 13 initial 0's). 1
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Sequence is 16383-periodic. - Ray Chandler, Dec 10 2016

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

Ray Chandler, Table of n, a(n) for n = 0..17000

Index entries for linear recurrences with constant coefficients, order 16383.

FORMULA

G.f. = x^13/(x^14 + x^12 + x^11 + x + 1) over GF(2). - M. F. Hasler, Feb 17 2018

MATHEMATICA

Mod[#, 2] & /@ CoefficientList[Series[x^13/(x^14 + x^12 + x^11 + x + 1), {x, 0, 105}], x] (* Michael De Vlieger, Feb 21 2018 *)

PROG

(PARI) A011727_vec(N)=Vec(lift(Mod(1, 2)/(x^14+x^12+x^11+x+1)+O(x^(N-13))), -N) \\ 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: A133010 A234323 A162782 * A297042 A088918 A277157

Adjacent sequences:  A011724 A011725 A011726 * A011728 A011729 A011730

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified July 19 08:12 EDT 2019. Contains 325155 sequences. (Running on oeis4.)