A122032 - OEIS

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A122032

Product of the first n 3-almost primes, divided by product of the first n primes, rounded down.

4, 16, 57, 164, 403, 870, 1535, 3393, 6492, 292176, 16250, 22837 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`Note that this is nonmonotonic. What is the asymptotic value of the ratio A112141(n)/A002110(n)?`
	FORMULA	`a(n) = floor(A114425(n)/A002110(n)) = floor(Prod(i=1..n)3almostprime(i)/Prod(i=1..n)prime(i)) = floor(Prod(i=1..n)A014612(i)/Prod(i=1..n)A000040(i)) = floor(Prod(i=1..n)(A014612(i)/A000040(i))).`
	EXAMPLE	`a(1) = floor(8/2) = floor(4) = 4.` `a(2) = floor(96/6) = floor(4) = 16.` `a(3) = floor(1728/30) = floor(57.6) = 57.` `a(4) = floor(34560/210) = floor(164.571429) = 164.` `a(5) = floor(933120/2310) = floor(403.948052) = 403.` `a(6) = floor(26127360/30030) = floor(870.041958) = 870.` `a(7) = floor(783820800/510510) = floor(1535.36816) = 1535.` `a(8) = floor(32920473600/9699690) = floor(3393.97172) = 3393.` `a(9) = floor(1448500838400/223092870) = floor(6492.81547) = 6492.` `a(10) = floor(65182537728000/223092870) = floor(292176.696) = 292176.` `a(11) = floor(3259126886400000/200560490130) = floor(16250.0943) = 16250.` `a(12) = floor(169474598092800000/7420738134810) = floor(22837.9704) = 22837.`
	CROSSREFS	`Cf. A000040, A014612, A002110, A112141, A123389.` `Sequence in context: A006079 A201619 A197532 * A197674 A034514 A168583` `Adjacent sequences: A122029 A122030 A122031 * A122033 A122034 A122035`
	KEYWORD	`easy,nonn`
	AUTHOR	`Jonathan Vos Post (jvospost3(AT)gmail.com), Oct 14 2006`

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.