A166643 - OEIS

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A166643

Totally multiplicative sequence with a(p) = 3*(p+1) for prime p.

1, 9, 12, 81, 18, 108, 24, 729, 144, 162, 36, 972, 42, 216, 216, 6561, 54, 1296, 60, 1458, 288, 324, 72, 8748, 324, 378, 1728, 1944, 90, 1944, 96, 59049, 432, 486, 432, 11664, 114, 540, 504, 13122, 126, 2592, 132, 2916, 2592, 648, 144, 78732, 576, 2916 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,2`
	LINKS	`Table of n, a(n) for n=1..50.`
	FORMULA	`Multiplicative with a(p^e) = (3(p+1))^e. If n = Product p(k)^e(k) then a(n) = Product (3(p(k)+1)^e(k). a(n) = A165824(n) * A003959(n) = 3^bigomega(n) * A003959(n) = 3^A001222(n) * A003959(n).`
	CROSSREFS	`Sequence in context: A072308 A045769 A140145 * A038302 A188001 A050236` `Adjacent sequences: A166640 A166641 A166642 * A166644 A166645 A166646`
	KEYWORD	`nonn,mult`
	AUTHOR	`Jaroslav Krizek, Oct 18 2009`
	STATUS	`approved`

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Last modified June 19 10:33 EDT 2013. Contains 226401 sequences.