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Search: id:A097905
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| A097905 |
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Triangle where a(m,n) = largest divisor of m! coprime to n. |
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| 1, 2, 1, 6, 3, 2, 24, 3, 8, 3, 120, 15, 40, 15, 24, 720, 45, 80, 45, 144, 5, 5040, 315, 560, 315, 1008, 35, 720, 40320, 315, 4480, 315, 8064, 35, 5760, 315, 362880, 2835, 4480, 2835, 72576, 35, 51840, 2835, 4480, 3628800, 14175, 44800, 14175, 145152, 175
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Right edge of triangle is sequence A095996.
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EXAMPLE
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a(6,3) = 80 because 80 is largest divisor of 720 which is coprime to 3.
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MAPLE
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seq(seq(denom(m^n/n!), m=1..n), n=1..11); - Vladeta Jovovic (vladeta(AT)Eunet.yu), May 03 2005
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MATHEMATICA
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Flatten[Table[Table[Select[Divisors[m! ], GCD[ #, n]==1&][[ -1]], {n, 1, m}], {m, 1, 10}]] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Nov 09 2007
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CROSSREFS
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Cf. A095996.
Adjacent sequences: A097902 A097903 A097904 this_sequence A097906 A097907 A097908
Sequence in context: A120435 A125901 A094307 this_sequence A094310 A121281 A131449
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KEYWORD
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nonn,tabl
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Sep 04 2004, Apr 10 2007
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Nov 09 2007
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