|
%I #20 Feb 23 2018 04:25:25
%S 0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,
%T 1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,
%U 0,1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0
%N A binary m-sequence: expansion of reciprocal of x^7+x^6+x^5+x^4+x^3+x^2+1.
%C Sequence is 127-periodic. - _Ray Chandler_, Jun 24 2017
%D S. W. Golomb, Shift-Register Sequences, Holden-Day, San Francisco, 1967.
%D H. D. Lueke, Korrelationssignale, Springer 1992, pp. 43-48.
%D F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier/North Holland, 1978, p. 408.
%H Ray Chandler, <a href="/A011674/b011674.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_127">Index entries for linear recurrences with constant coefficients</a>, order 127.
%t Join[Table[0, 6], Mod[CoefficientList[1/(x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + 1) + O[x]^96, x], 2]] (* _Jean-François Alcover_, Feb 23 2018 *)
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_.
|
