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Search: id:A056604
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| A056604 |
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Values of LCM[1,...,m], m = prime, whose square-free kernels give A002110. |
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1
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| 2, 6, 60, 420, 27720, 360360, 12252240, 232792560, 5354228880, 2329089562800, 72201776446800, 5342931457063200, 219060189739591200, 9419588158802421600, 442720643463713815200, 164249358725037825439200
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OFFSET
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1,1
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COMMENT
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a(n) can be used like A006939(n) for certain kinds of rounding. E.g. the Babylonian a(3) = 60 = 2*2*3*5 divides A006939(3) = 360 = 2*2*2*3*3*5.
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FORMULA
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a(n) = p(n)^r(n) *...* p(1)^r(1) for maximal p(j)^r(j) <= p(n).
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EXAMPLE
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a(5)=LCM[1,2,...,10,11]=27720, p(5)=11. Observe that not all possible LCM[1,..,n] values of A003418 occur; e.g. 12,840,25520,etc. are not present. Their square-free kernels gives exactly A002110.
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CROSSREFS
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Cf. A002110, A034386, A003418, A051451, A006939.
Sequence in context: A102290 A025540 A083135 this_sequence A086332 A089039 A108640
Adjacent sequences: A056601 A056602 A056603 this_sequence A056605 A056606 A056607
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Aug 07 2000
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EXTENSIONS
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One more term and additional comments from Frank.Ellermann(AT)t-online.de, Dec 18, 2001
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