A091219 - OEIS

A091219

Moebius-analog for the domain GF(2)[X]: a(n)=0 if A091221(n)!=A091222(n) (i.e., if the polynomial is not squarefree), otherwise (-1)^A091222(n).

1, -1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 0, -1, 1, 0, 0, 0, -1, -1, 0, 0, 1, 1, 0, -1, 1, 0, 0, 1, 0, -1, 0, 1, 0, 1, 0, -1, 1, 0, 0, -1, 0, 1, 0, 0, -1, -1, 0, 1, 1, 0, 0, 1, 0, -1, 0, 0, -1, -1, 0, -1, 1, 0, 0, 0, -1, -1, 0, 0, -1, 1, 0, -1, 1, 0, 0, 1, 0, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0, 1, 0

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OFFSET

1,1

COMMENTS

The absolute values give a characteristic function for squarefree GF(2)[X]-polynomials.

LINKS

Table of n, a(n) for n=1..90.

A. Karttunen, Scheme-program for computing this sequence.

Index entries for sequences operating on GF(2)[X]-polynomials

CROSSREFS

a(n) = A008683(A091203(n)) = A008683(A091205(n)).

Sequence in context: A266623 A359579 A246142 * A304109 A275601 A281011

Adjacent sequences: A091216 A091217 A091218 * A091220 A091221 A091222

KEYWORD

sign

AUTHOR

Antti Karttunen, Jan 03 2004

STATUS

approved