id:A061019 - OEIS Search Results

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Negate primes in factorization of n.

+0
3

1, -2, -3, 4, -5, 6, -7, -8, 9, 10, -11, -12, -13, 14, 15, 16, -17, -18, -19, -20, 21, 22, -23, 24, 25, 26, -27, -28, -29, -30, -31, -32, 33, 34, 35, 36, -37, 38, 39, 40, -41, -42, -43, -44, -45, 46, -47, -48, 49, -50, 51, -52, -53, 54, 55, 56, 57, 58, -59, 60, -61, 62, -63, 64, 65, -66, -67, -68, 69, -70 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Inverse Moebius transform of A001615.` `n*lambda(n), where lambda is Liouville's function: A008836.` `Totally multiplicative sequence with a(p) = -p for prime p. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Nov 01 2009]`
	FORMULA	`Multiplicative with a(p) = -p, p prime.` `a(n)= (-1)^(number of primes dividing n)n = n (-1)^A001222(n).`
	EXAMPLE	`a(6)=(-2)(-3) = +6, while a(8)=(-2)^3 = -8.`
	CROSSREFS	`Cf. A000027, A001222, A061020, A001615.` `Sequence in context: A105811 A069782 A088480 this_sequence A028310 A097045 A118759` `Adjacent sequences: A061016 A061017 A061018 this_sequence A061020 A061021 A061022`
	KEYWORD	`easy,nice,sign,mult`
	AUTHOR	`Marc LeBrun (mlb(AT)well.com), Apr 13 2001`

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.

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