A011677 - OEIS

%I #15 Feb 23 2018 04:57:36

%S 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,

%T 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,

%U 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

%N A binary m-sequence: expansion of reciprocal of x^7+x^5+x^2+x+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="/A011677/b011677.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^5 + x^2 + x + 1) + O[x]^96, x], 2] ] (* _Jean-François Alcover_, Feb 23 2018 *)

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_.