A011693 A binary m-sequence: expansion of reciprocal of x^8+x^5+x^4+x^3+1.

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

Offset

0,1

Comments

Sequence is 17-periodic. - Ray Chandler, Dec 09 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..1000

Index entries for periodic sequences.

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = a(n-17). - Wesley Ivan Hurt, May 20 2021

Prog

(PARI) a(n)=bittest(81024, n%17) \\ Charles R Greathouse IV, May 31 2026

Crossrefs

Sequence in context: A011721 A011694 A011696 * A144198 A144200 A395053

Adjacent sequences: A011690 A011691 A011692 * A011694 A011695 A011696

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved