A091219 - OEIS

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A091219

Moebius-analogue 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 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`The absolute values give a characteristic function for squarefree GF(2)[X]-polynomials.`
	LINKS	`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: A145379 A128810 A123272 * A016416 A014024 A014039` `Adjacent sequences: A091216 A091217 A091218 * A091220 A091221 A091222`
	KEYWORD	`sign`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jan 03 2004`

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Last modified February 13 08:12 EST 2012. Contains 205451 sequences.