id:A083254 - OEIS Search Results

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a(n)=2phi[n]-n=totient[n]-cototient[n]=A000010[n]-A051953[n].

+0
5

1, 0, 1, 0, 3, -2, 5, 0, 3, -2, 9, -4, 11, -2, 1, 0, 15, -6, 17, -4, 3, -2, 21, -8, 15, -2, 9, -4, 27, -14, 29, 0, 7, -2, 13, -12, 35, -2, 9, -8, 39, -18, 41, -4, 3, -2, 45, -16, 35, -10, 13, -4, 51, -18, 25, -8, 15, -2, 57, -28, 59, -2, 9, 0, 31, -26, 65, -4, 19, -22, 69, -24, 71, -2, 5, -4, 43, -30, 77, -16, 27, -2, 81, -36, 43, -2, 25 (list; graph; listen)

	OFFSET	`1,5`
	EXAMPLE	`Case 1# - totient(x)-cototient[x] = 0 if x is a power of 2;` `Case 2# - totient(x)>cototient[x] gives odd primes and also A067800, (= A014076 except probably A036798); e.g. n = 33: a(33) = 2.20-33 = 7; n = p prime: a(p) = p-2;` `Case 3# - totient(x)<cototient[x] gives even numbers without powers of 2, and most probably A036798; e.g. n = 20: a(20) = -4; n = 105: a(105) = 2.48-105 = 96-105 = -9.`
	MATHEMATICA	`Table[2*EulerPhi[w]-w, {w, 1, 1000}]`
	CROSSREFS	`Cf. A000010, A051953, A000079, A014076, A067800, A036798.` `Adjacent sequences: A083251 A083252 A083253 this_sequence A083255 A083256 A083257` `Sequence in context: A082493 A021887 A085015 this_sequence A068453 A111986 A121490`
	KEYWORD	`easy,sign`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), May 08 2003`

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.

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