A166644 - OEIS

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A166644

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

1, 12, 16, 144, 24, 192, 32, 1728, 256, 288, 48, 2304, 56, 384, 384, 20736, 72, 3072, 80, 3456, 512, 576, 96, 27648, 576, 672, 4096, 4608, 120, 4608, 128, 248832, 768, 864, 768, 36864, 152, 960, 896, 41472, 168, 6144, 176, 6912, 6144, 1152, 192, 331776 (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) * A003959(n) = 4^bigomega(n) * A003959(n) = 4^A001222(n) * A003959(n).`
	CROSSREFS	`Sequence in context: A050585 A050555 A060669 * A087657 A059390 A179243` `Adjacent sequences: A166641 A166642 A166643 * A166645 A166646 A166647`
	KEYWORD	`nonn,mult`
	AUTHOR	`Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Oct 18 2009`

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Last modified February 14 11:36 EST 2012. Contains 205623 sequences.