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Search: id:A094336
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| A094336 |
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Product of next n numbers divided by the largest factorial divisor. |
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+0
1
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| 1, 1, 1, 1, 3003, 969, 16445, 30566, 886163135, 2658968130, 491796152, 3340843549855, 9129919051926, 22487406253165, 17391629252325717, 2248272948937235, 15415916972482007401455, 50848495433999570877570
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OFFSET
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1,5
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COMMENT
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Conjecture: a(n) > 1 for n > 4.
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EXAMPLE
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a(5) = (11*12*13*14*15)/(5!) = 3003.
a(6) = (16*17*18*19*20*21)/(8!) = 969.
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MATHEMATICA
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Table[a := Product[i, {i, n*(n - 1)/2 + 1, n*(n + 1)/2}]; b := 1; While[ IntegerQ[a/(b + 1)! ], b++ ]; a/b!, {n, 1, 20}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 14 2006
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CROSSREFS
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Sequence in context: A106766 A119892 A128935 this_sequence A100896 A140915 A140928
Adjacent sequences: A094333 A094334 A094335 this_sequence A094337 A094338 A094339
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 17 2004
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 14 2006
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