id:A112962 - OEIS Search Results

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Sum(mu(i)*phi(j): i+j=n), with mu=A008683 and phi=A000010.

+0
5

0, 1, 0, 0, -1, -1, -4, -2, -5, -8, -5, -8, -9, -11, -10, -24, 1, -21, -11, -23, -15, -37, 4, -42, -11, -38, -7, -49, 6, -63, -12, -44, -3, -81, 10, -106, 7, -49, -8, -92, 15, -103, 2, -72, -5, -114, 41, -140, -3, -114, 8, -113, 49, -179, 3, -135, 27, -131, 46, -218, -7, -99, 32, -185, 72, -259, 50, -104, 23, -211, 52, -248, 43, -153 (list; graph; listen)

	OFFSET	`1,7`
	EXAMPLE	`a(5)=mu(1)phi(4)+mu(2)phi(3)+mu(3)phi(2)+mu(4)phi(1) = 12 - 12 - 11 + 01 = -1.`
	MAPLE	`with(numtheory); f:=n->add(phi(i)*mobius(n-i), i=1..n-1);`
	CROSSREFS	`Cf. A002088, A065093, A068341, A112963, A112964, A112966, A112968.` `Sequence in context: A020849 A134235 A159979 this_sequence A163358 A121709 A019170` `Adjacent sequences: A112959 A112960 A112961 this_sequence A112963 A112964 A112965`
	KEYWORD	`sign`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 07 2005`
	EXTENSIONS	`Corrected by N. J. A. Sloane (njas(AT)research.att.com), Mar 01 2006`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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