A166640 - OEIS

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A166640

Totally multiplicative sequence with a(p) = 9*(p-1) for prime p.

1, 9, 18, 81, 36, 162, 54, 729, 324, 324, 90, 1458, 108, 486, 648, 6561, 144, 2916, 162, 2916, 972, 810, 198, 13122, 1296, 972, 5832, 4374, 252, 5832, 270, 59049, 1620, 1296, 1944, 26244, 324, 1458, 1944, 26244, 360, 8748, 378, 7290, 11664, 1782, 414, 118098 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	FORMULA	`Multiplicative with a(p^e) = (9(p-1))^e. If n = Product p(k)^e(k) then a(n) = Product (9(p(k)-1)^e(k). a(n) = A165830(n) * A003958(n) = 9^bigomega(n) * A003958(n) = 9^A001222(n) * A003958(n).`
	CROSSREFS	`Sequence in context: A086500 A022669 A107313 * A140149 A197345 A186951` `Adjacent sequences: A166637 A166638 A166639 * A166641 A166642 A166643`
	KEYWORD	`nonn,mult`
	AUTHOR	`Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Oct 18 2009`

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Last modified February 17 18:41 EST 2012. Contains 206074 sequences.