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A001041
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12 times the product of the first n primes.
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0
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12, 24, 72, 360, 2520, 27720, 360360, 6126120, 116396280, 2677114440, 77636318760, 2406725881560, 89048857617720, 3651003162326520, 156993135980040360, 7378677391061896920, 391069901726280536760
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Bob Marshall calls these the "holotomic numbers" and opines: "This sequence, aptly designated as the Holotomic Sequence, represents the minimal plural quantities that accomodate the maximum amount of consecutive factors." Thus this can be seen as a version of A051451. [Charles R Greathouse IV, Jan 12 2012]
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LINKS
| Index to divisibility sequences
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MATHEMATICA
| 12*FoldList[ #1*Prime[ #2 ]&, 1, Range[ n ] ]
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PROG
| (PARI) a(n)=12*prod(i=1, n, prime(i)) \\ Charles R Greathouse IV, Jan 12 2012
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CROSSREFS
| Equals 12 * A002110.
Sequence in context: A206026 A145899 A172011 * A081751 A120360 A120356
Adjacent sequences: A001038 A001039 A001040 * A001042 A001043 A001044
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KEYWORD
| nonn
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AUTHOR
| Bob Marshall, 1811 California St., Eureka CA 95501.
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 19 2000
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