id:A074820 - OEIS Search Results

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Numbers n such that mu(n) = mu(n+2).

+0
2

3, 5, 11, 16, 17, 18, 25, 29, 33, 41, 48, 50, 52, 54, 55, 59, 71, 85, 88, 90, 91, 93, 96, 98, 101, 103, 105, 107, 124, 126, 137, 141, 143, 148, 149, 150, 159, 160, 162, 163, 165, 169, 179, 183, 185, 191, 193, 195, 196, 197, 198, 201, 203, 213, 215, 217, 219, 227 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`a(n) seems to be asymptotic to c*n with c near 3.73. Probably c = 1/(3A/2 + 1 - 12/pi^2) ~ 3.729994018, where A ~ 0.322634099 is the product over all primes p of 1 - 2/p^2.`
	MATHEMATICA	`Select[Range[230], MoebiusMu[ # ]==MoebiusMu[ #+2]&]`
	CROSSREFS	`Cf. A008683.` `Sequence in context: A092929 A138879 A018313 this_sequence A006169 A088328 A102643` `Adjacent sequences: A074817 A074818 A074819 this_sequence A074821 A074822 A074823`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 08 2002`
	EXTENSIONS	`Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Sep 10 2002`

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.

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