A166634 - OEIS

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A166634

Totally multiplicative sequence with a(p) = 4*(p-1) for prime p.

1, 4, 8, 16, 16, 32, 24, 64, 64, 64, 40, 128, 48, 96, 128, 256, 64, 256, 72, 256, 192, 160, 88, 512, 256, 192, 512, 384, 112, 512, 120, 1024, 320, 256, 384, 1024, 144, 288, 384, 1024, 160, 768, 168, 640, 1024, 352, 184, 2048, 576, 1024 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	FORMULA	`Multiplicative with a(p^e) = (4(p-1))^e. If n = Product p(k)^e(k) then a(n) = Product (4(p(k)-1)^e(k). a(n) = A165825(n) * A003958(n) = 4^bigomega(n) * A003958(n) = 4^A001222(n) * A003958(n).`
	CROSSREFS	`Sequence in context: A045534 A194433 A194435 * A189007 A072603 A123535` `Adjacent sequences: A166631 A166632 A166633 * A166635 A166636 A166637`
	KEYWORD	`nonn,mult`
	AUTHOR	`Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Oct 18 2009`

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Last modified February 14 14:07 EST 2012. Contains 205623 sequences.