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A093454
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Floor (( LCM of next n numbers )/n!).
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0
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1, 3, 10, 105, 500, 2261, 24667, 42028, 1230782, 20311562, 4439826, 359052299, 528351796, 6320864852, 54316890301, 272889671456, 59002964602937, 369404431595, 79683951358252, 35792935676910, 137309505871357313
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Conjecture: There are finitely many numbers of the form {LCM of next n numbers}/n! which are not integers.
In the first three thousand terms, I found only five which are integers: 1, 2, 3, 4 & 6. - Robert G. Wilson v
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EXAMPLE
| a(6) = 500= Floor[LCM (16,17,18,19,20,21)/6! ] = Floor[500.5] = 500.
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MATHEMATICA
| f[n_] := Floor[LCM @@ Drop[Range[n(n + 1)/2], n(n - 1)/2]/n! ]; Table[ f[n], {n, 21}] (from Robert G. Wilson v Apr 30 2004)
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CROSSREFS
| Sequence in context: A083108 A117664 A091342 * A048531 A073306 A034945
Adjacent sequences: A093451 A093452 A093453 * A093455 A093456 A093457
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 03 2004
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EXTENSIONS
| Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 30 2004
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