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A232983
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The Gauss factorial n_7!.
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1
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1, 1, 2, 6, 24, 120, 720, 720, 5760, 51840, 518400, 5702400, 68428800, 889574400, 889574400, 13343616000, 213497856000, 3629463552000, 65330343936000, 1241276534784000, 24825530695680000, 24825530695680000, 546161675304960000, 12561718532014080000, 301481244768337920000, 7537031119208448000000
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OFFSET
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0,3
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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(7);
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PROG
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(Magma) k:=7; [IsZero(n) select 1 else &*[j: j in [1..n] | IsOne(GCD(j, k))]: n in [0..30]]; // 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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