A076941 - OEIS

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A076941

Define a mapping for a reduced rational number p/q by f(p/q) = 2^p*3^q.

6, 18, 54, 108, 486, 972, 1944, 4374, 8748, 17496, 69984 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`(p,q) = 1,. p = A066657(n) and q = A066658(n). a(n) = 2^p*3^q.` `The fact that rational numbers are countable directly follows from the 'unique factorization theorem'.`
	CROSSREFS	`Cf. A066657, A066658, A076940.` `Sequence in context: A015645 A001216 A079843 * A006779 A003208 A174313` `Adjacent sequences: A076938 A076939 A076940 * A076942 A076943 A076944`
	KEYWORD	`more,nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Oct 19 2002`

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Last modified February 16 12:41 EST 2012. Contains 205909 sequences.