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Triangle where a(m,n) = largest divisor of m! coprime to n.
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%I #13 Aug 26 2015 21:27:14

%S 1,2,1,6,3,2,24,3,8,3,120,15,40,15,24,720,45,80,45,144,5,5040,315,560,

%T 315,1008,35,720,40320,315,4480,315,8064,35,5760,315,362880,2835,4480,

%U 2835,72576,35,51840,2835,4480,3628800,14175,44800,14175,145152,175

%N Triangle where a(m,n) = largest divisor of m! coprime to n.

%C Right edge of triangle is sequence A095996.

%e a(6,3) = 80 because 80 is largest divisor of 720 which is coprime to 3.

%p seq(seq(denom(m^n/n!),m=1..n),n=1..11); # _Vladeta Jovovic_, May 03 2005

%t Flatten[Table[Table[Select[Divisors[m! ], GCD[ #,n]==1&][[ -1]], {n,1,m}],{m,1, 10}]] (* _Stefan Steinerberger_, Nov 09 2007 *)

%Y Cf. A095996.

%K nonn,tabl

%O 1,2

%A _Leroy Quet_, Sep 04 2004, Apr 10 2007

%E More terms from _Stefan Steinerberger_, Nov 09 2007