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A232984
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The Gauss factorial n_10!.
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1
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1, 1, 1, 3, 3, 3, 3, 21, 21, 189, 189, 2079, 2079, 27027, 27027, 27027, 27027, 459459, 459459, 8729721, 8729721, 183324141, 183324141, 4216455243, 4216455243, 4216455243, 4216455243, 113844291561, 113844291561, 3301484455269, 3301484455269, 102346018113339, 102346018113339, 3377418597740187
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OFFSET
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0,4
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COMMENTS
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The Gauss factorial n_k! is defined to be Product_{1<=j<=n, gcd(j,k)=1} j.
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LINKS
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MAPLE
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Gf:=proc(N, n) local j, k; k:=1;
for j from 1 to N do if gcd(j, n)=1 then k:=j*k; fi; od; k; end;
f:=n->[seq(Gf(N, n), N=0..40)];
f(10);
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PROG
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(Magma) k:=10; [IsZero(n) select 1 else &*[j: j in [1..n] | IsOne(GCD(j, k))]: n in [0..40]]; // Bruno Berselli, Dec 10 2013
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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