id:A100008 - OEIS Search Results

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Number of unitary divisors of 2n.

+0
1

2, 2, 4, 2, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 8, 2, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 2, 8, 4, 8, 4, 4, 4, 8, 4, 4, 8, 4, 4, 8, 4, 4, 4, 4, 4, 8, 4, 4, 4, 8, 4, 8, 4, 4, 8, 4, 4, 8, 2, 8, 8, 4, 4, 8, 8, 4, 4, 4, 4, 8, 4, 8, 8, 4, 4, 4, 4, 4, 8, 8, 4, 8, 4, 4, 8, 8, 4, 8, 4, 8, 4, 4, 4, 8, 4, 4, 8, 4, 4, 16 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`b(n) = a(n)/a(1) is multiplicative with b(2^e) = 1, b(p^e) = 2 otherwise. David W. Wilson (davidwwilson(AT)comcast.net) Jun 12, 2005.`
	EXAMPLE	`a(6)=4 because among the six divisors of 12 only 1,3,4 and 12 are unitary.`
	MAPLE	with(numtheory): for n from 1 to 120 do printf(`%d, `, 2^nops(ifactors(2*n)[2])) od: (Deutsch)
	CROSSREFS	`Bisection of A034444.` `Sequence in context: A152858 A091248 A082991 this_sequence A102763 A054844 A057936` `Adjacent sequences: A100005 A100006 A100007 this_sequence A100009 A100010 A100011`
	KEYWORD	`nonn,easy`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Nov 20 2004`
	EXTENSIONS	`More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 24 2004`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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