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A056604
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Values of LCM[1,...,m], m = prime, whose squarefree kernels give A002110.
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3
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2, 6, 60, 420, 27720, 360360, 12252240, 232792560, 5354228880, 2329089562800, 72201776446800, 5342931457063200, 219060189739591200, 9419588158802421600, 442720643463713815200, 164249358725037825439200
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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
| a(n) = p(n)^r(n) *...* p(1)^r(1) for maximal p(j)^r(j) <= p(n).
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EXAMPLE
| 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 squarefree kernels gives exactly A002110.
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CROSSREFS
| Cf. A002110, A034386, A003418, A051451, A006939.
Sequence in context: A102290 A025540 A083135 * A156972 A086332 A180402
Adjacent sequences: A056601 A056602 A056603 * A056605 A056606 A056607
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Aug 07 2000
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EXTENSIONS
| One more term and additional comments from Frank.Ellermann(AT)t-online.de, Dec 18, 2001
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