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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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0
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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; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Right edge of triangle is sequence A095996.
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EXAMPLE
| a(6,3) = 80 because 80 is largest divisor of 720 which is coprime to 3.
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MAPLE
| seq(seq(denom(m^n/n!), m=1..n), n=1..11); - Vladeta Jovovic (vladeta(AT)eunet.rs), May 03 2005
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MATHEMATICA
| 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
| Cf. A095996.
Sequence in context: A120435 A125901 A094307 * A094310 A165908 A121281
Adjacent sequences: A097902 A097903 A097904 * A097906 A097907 A097908
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KEYWORD
| nonn,tabl
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AUTHOR
| Leroy Quet Sep 04 2004, Apr 10 2007
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EXTENSIONS
| More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Nov 09 2007
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