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a(n) = n!/gcd(n,3).
1

%I #19 Feb 20 2022 07:50:08

%S 1,2,2,24,120,240,5040,40320,120960,3628800,39916800,159667200,

%T 6227020800,87178291200,435891456000,20922789888000,355687428096000,

%U 2134124568576000,121645100408832000,2432902008176640000,17030314057236480000,1124000727777607680000

%N a(n) = n!/gcd(n,3).

%p A194130 := proc(n)

%p n!/igcd(n,3) ;

%p end proc:

%p seq(A194130(n),n=1..30) ;

%t Table[n!/GCD[n,3],{n,20}] (* _Harvey P. Dale_, Aug 08 2019 *)

%Y Cf. A109007, A144396, A005563, A051925.

%K nonn

%O 1,2

%A _Paul Curtz_, Aug 16 2011

%E Definition and offset corrected by _R. J. Mathar_, Aug 18 2011