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Search: id:A056610
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| A056610 |
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Quotient: square-free kernel of LCM[1,..,n] (or of n!) divided by kernel of central binomial coefficient. |
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+0
2
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| 1, 1, 2, 1, 3, 3, 6, 3, 5, 5, 5, 5, 35, 35, 14, 7, 21, 21, 105, 105, 55, 55, 165, 165, 429, 429, 1001, 1001, 1001, 1001, 2002, 1001, 1547, 1547, 221, 221, 4199, 4199, 323, 323, 2261, 2261, 24871, 24871, 572033, 572033, 572033, 572033, 408595, 408595
(list; graph; listen)
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OFFSET
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1,3
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FORMULA
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a(n) = A007947[A000142(n)]/A007947[A001405(n)] = A034386(n)/A048633(n)
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EXAMPLE
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n = 10, LCM[1, 2, 3, .., 10] = 2520, LCM[1, 10, 45, 120, 210, 252] = 252; the corresponding kernels are 210 or 42. The quotient is a(10) = 5.
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CROSSREFS
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Cf. A003418, A000142, A034386, A007947, A001405, A048633.
Sequence in context: A132883 A132888 A124774 this_sequence A096373 A108949 A167704
Adjacent sequences: A056607 A056608 A056609 this_sequence A056611 A056612 A056613
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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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