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A166483
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Numerator of sequence of ratios of semiprimes and multiples thereof in intervals of length 4*6, 4*6*9, 4*6*9*10,...[A112141] to the length of the interval. See example below. The first few ratios are: 1/4,8/24, 84/216,912/2160,...
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0
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OFFSET
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1,2
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COMMENTS
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Conjecture: sequences for 2-ads, 3-ads (composites of 3 primes), 4-ads, etc., converge to 1/2, 1/4, 1/8,..., respectively.
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LINKS
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Table of n, a(n) for n=1..7.
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EXAMPLE
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Example: For the second ratio, 4*6 is the denominator (product of first two semiprimes), and there 8 multiples of the semiprimes 4,6 in the interval, including those two semiprimes, repetitions (such as 4*3, 2*6) are only counted once. The ratio is then 8/24. The first few analogous ratios for 3-ads are: 1/8, 16/96, 336/1728, 7296/34560,...
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CROSSREFS
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Sequence in context: A050893 A037025 A105063 * A274303 A132586 A208400
Adjacent sequences: A166480 A166481 A166482 * A166484 A166485 A166486
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KEYWORD
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frac,nonn
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AUTHOR
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Daniel Tisdale, Oct 14 2009, Oct 16 2009
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STATUS
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approved
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