A166632 - OEIS

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A166632

Totally multiplicative sequence with a(p) = 2*(p-1) for prime p.

1, 2, 4, 4, 8, 8, 12, 8, 16, 16, 20, 16, 24, 24, 32, 16, 32, 32, 36, 32, 48, 40, 44, 32, 64, 48, 64, 48, 56, 64, 60, 32, 80, 64, 96, 64, 72, 72, 96, 64, 80, 96, 84, 80, 128, 88, 92, 64, 144, 128 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	FORMULA	`Multiplicative with a(p^e) = (2(p-1))^e. If n = Product p(k)^e(k) then a(n) = Product (2(p(k)-1)^e(k). a(n) = A061142(n) * A003958(n) = 2^bigomega(n) * A003958(n) = 2^A001222(n) * A003958(n).`
	CROSSREFS	`Sequence in context: A076347 A140513 A188112 * A116596 A048656 A107848` `Adjacent sequences: A166629 A166630 A166631 * A166633 A166634 A166635`
	KEYWORD	`nonn,mult`
	AUTHOR	`Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Oct 18 2009`

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Last modified February 16 02:51 EST 2012. Contains 205860 sequences.