id:A069158 - OEIS Search Results

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Product{d|n} mu(d), product over positive divisors, d, of n, where mu(d) = Moebius function (A008683).

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1, -1, -1, 0, -1, 1, -1, 0, 0, 1, -1, 0, -1, 1, 1, 0, -1, 0, -1, 0, 1, 1, -1, 0, 0, 1, 0, 0, -1, 1, -1, 0, 1, 1, 1, 0, -1, 1, 1, 0, -1, 1, -1, 0, 0, 1, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 1, 1, -1, 0, -1, 1, 0, 0, 1, 1, -1, 0, 1, 1, -1, 0, -1, 1, 0, 0, 1, 1, -1, 0, 0, 1, -1, 0, 1, 1, 1, 0, -1, 0, 1, 0, 1, 1, 1, 0, -1, 0, 0, 0, -1, 1, -1, 0, 1, 1 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Absolute value of a(n) = absolute value of mu(n).`
	FORMULA	`a(n) = 0 if mu(n) = 0; a(n) = -1 if n = prime; a(n) = 1 if n = squarefree composite or 1.`
	EXAMPLE	`a(6) = mu(1)mu(2)mu(3)mu(6) = 1(-1)(-1)1 = 1.`
	PROGRAM	`(MAGMA) f := function(n); t1 := &*[MoebiusMu(d) : d in Divisors(n) ]; return t1; end function;`
	CROSSREFS	`Adjacent sequences: A069155 A069156 A069157 this_sequence A069159 A069160 A069161` `Sequence in context: A008683 A008966 A080323 this_sequence A133639 A060038 A132350`
	KEYWORD	`sign`
	AUTHOR	`Leroy Quet (qq-quet(AT)mindspring.com), Apr 08 2002`

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Last modified October 12 13:44 EDT 2008. Contains 144830 sequences.

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