A011677 A binary m-sequence: expansion of reciprocal of x^7+x^5+x^2+x+1.

0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0

Offset

0,1

Comments

Sequence is 127-periodic. - Ray Chandler, Jun 24 2017

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..1000

Index entries for linear recurrences with constant coefficients, order 127.

Mathematica

Join[Table[0, 6], Mod[CoefficientList[1/(x^7 + x^5 + x^2 + x + 1) + O[x]^96, x], 2] ] (* Jean-François Alcover, Feb 23 2018 *)

Crossrefs

Sequence in context: A011681 A011689 A011680 * A011685 A011678 A011679

Adjacent sequences: A011674 A011675 A011676 * A011678 A011679 A011680

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved